Volume-6 , Issue-5 , Oct 2019, ISSN 2348-4519 (Online) Go Back

• Open Access   Article

  Relation between Domination Number, Energy, Laplacian Energy of Graph and Rank

  G. Kalaimurugan1, S. Magi, S. Sharief Basha

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.6 , Issue.5 , pp.1-6, Oct-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i5.16

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  Graph theory has seen an hot-headed evolution due to its application in different arena of sciences in the last 40 years. Imaginably the fasting growing areas within graph theory are Domination theory, energy of graphs etc. Matrix representation of graph &. Rank of matrix is most familiar in graph theory In this paper we find few bounds which relate domination number of G, energy of G, laplacian energy of G and rank of the incident matrix of the graph G, and we pretence some open problems for further research. The motivation for this paper is to establish a link between these parameters

  Key-Words / Index Term
  Domination Number, Energy of Graph, Laplacian energy of graph, Rank of the incidence matrix

  References
  [1] C. A. Coulson, “ On the calculation of the energy in unsaturated hydrocarbon molecules” Proc. Cambridge Phil. Soc., 36 (1940), 201 -203
  [2] Georgi. E. Shilov, Linear Algebra, Dover publications,Inc. chapter
  [3] Haynes, Teresa W, Fundamentals of Domination in graphs
  [4] I. Gutman, “The energy of a graph,” Ber. Math. Statist. Sekt.orschungszenturm Graz., 103 (1978), 1-22.
  [5] I. Gutman, O. E. Polansky, Mathematical Concepts in Organic Chemistry, Springer, 1986.
  [6] I. Gutman, “The energy of a graph: old and new results”, in: A. Betten, A. Kohnert, R. Laue, A. Wassermann (Eds.), Algebraic Combinatorics and Applications, Springer,(2000), 196-211.
  [7] I. Gutman, “Topology and stability of conjugated hydrocarbons. The dependence of total ¼ - electron energy on molecular topology”, J. Serb. Chem. Soc., 70 (2005), 441-456.
  [8] Ivan Gutman a, Bo Zhou, “Laplacian Energy of a Graph”, Linear Algebra and its Applications 414 (2006) 29–37.
  [9] Teresa W., Haynes, Topics on Domination, Volume 86, Numbers1-3.
  [10] Clemens brand , Norbert Seifter, “Eigenvalues and domination in graphs”, Mathematica Slovaca, Vol. 46 (1996), No. 1, 33–39.
  

  Citation
  G. Kalaimurugan1, S. Magi, S. Sharief Basha, "Relation between Domination Number, Energy, Laplacian Energy of Graph and Rank," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.5, pp.1-6, 2019

• Open Access   Article

  A Fixed Point theorem on S_b-metric spaces with a weak S_b-metric

  K.P.R. Sastry, K.K.M. Sarma, P. Krishna Kumari

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.6 , Issue.5 , pp.7-11, Oct-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i5.711

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  In this paper we define weak S_b-metric on a S_b-metric space which is an extension of weak S-metric on a S-metric space. We establish a fixed point theorem on S_b-metric space with a weak S_b-metric. Examples are given at relevant places. We obtain the result of K.Sarada., V.Jhansi Rani., V.Siva Rama Prasad., as a corollary. We also obtain Banach Contraction principle as a corollary

  Key-Words / Index Term
  S-metric space and weak S-metric, S_b-metric space, weak S_b-metric, fixed point

  References
  [1] S. Sedghi, N. Shobe, A. Aliouche, “A generalization of fixed point theorem in S-metric spaces”, Mat. Vesnik, 64, No. 3, pp.258-266, 2012.
  [2] A.H. Ansari, N. Jamnian, “Best proximity point for proximal contractive type mappings with C-class functions in S-metric spaces”, Fixed Point theory and applications.– 2017:12-DOI/o – 1186/S13663 – 017- 0606-2, 2017.
  [3] N.T. Hieu, N.T. Thanhly, N.V. Dury, “A generalization of ciric quasi contraction for mapping on S-metric spaces”, Thai.J. .Math – 13 (2), pp.369-380, 2014.
  [4] K. Prudhvi, “Some fixed point results in S-metric spaces”, Journal of Mathematical Sciences and Applications. Vol.-4-No. 1, pp.1-3, doi: 10.12691/Jmsa- 4-1-1- Research Article, 2016.
  [5] K.P.R. Sastry, K.K.M. Sarma, P. Krishna Kumari, Sunitha Choudari, “Fixed point theorems for ψ–contractions in S-metric spaces and KKS metric spaces”, International Journal of Mathematics and its applications, Volume 5, Issue 4- E, pp.619-632 with ISSN: 2347- 1557, 2017.
  [6] S. Sedghi, I. Altun, N. Shobe, M. Salahshour, “Some properties of S-metric spaces and fixed point results”, Kyung pook Mathematical Journal.54 (1), pp.113- 122, 2014.
  [7] S. Sedghi, N. Shobe, T. Dosenovic, “Fixed point results in S-metric spaces”, Non-linear function Anal. Appl. 20 (1), pp.55-67, 2015.
  [8] S. Sedghi, A. Gholidahnh, T. Dosenovic, J. Esfahani, S. Randenovic, “Common fixed point of four maps in S_b-metric spaces”, J. Linear Topol. Algebra 5(2), pp.93-104, 2016.
  [9] Nizar Souayah, Nabil Mlaiki, “A fixed point theorem in S_b-metric spaces”, Journal of Mathematics and Computer Science, 16, pp.131- 139, 2016.
  [10] N. Saleem, A.H. Ansari, Parvovico, S. Radenovic, “Some new results in the framework of S_b-metric spaces”, Scientific Publications of the state university of Novi Pazar. SER. A: APPL. MATH. INFORM. AND. MECH. Vol.9. 2, pp.151-165, 2017.
  [11] K.P.R. Sastry, K.K.M. Sarma, P. Krishna Kumari, “Fixed point theorems for (ψ-φ-λ) contractions in S_b- metric spaces”, International Journal of Mathematics Trends and Technology (IJMTT) Volume 66, pp.1-12 with ISSN: 2349-5758, April 2018.
  [12] K. Sarada., V. Jhansi Rani., V. Siva Rama Prasad, “A fixed point theorem on S-metric space with a weak S-metric”, International Journal of Mathematical Archive-7 (1), pp.188-191, ISSN 2229-5046, 2016.
  

  Citation
  K.P.R. Sastry, K.K.M. Sarma, P. Krishna Kumari, "A Fixed Point theorem on S_b-metric spaces with a weak S_b-metric," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.5, pp.7-11, 2019

• Open Access   Article

  Statical Analysis of Rainfall for Development of Intensity-Duration-Frequency curves for Upper Cauvery Karnataka by Log-Normal Distribution

  Mohammed Badiuddin Parvez, M Inayathulla

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.6 , Issue.5 , pp.12-33, Oct-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i5.1233

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  Abstract
  Intensity–duration–frequency (IDF) curves are among the most demandable information in meteorology, hydrology and engineering water resources design, planning, operation, and management works. The IDF Curves accessible are for the most part done by fitting arrangement of yearly greatest precipitation force to parametric dispersions. Intensity-duration-frequency (IDF) curves represent the relationship between storm intensity, storm duration and return period. Environmental change is relied upon to intensify the boundaries in the atmosphere factors. Being prone to harsh climate impacts, it is very crucial to study extreme rainfall-induced flooding for short durations over regions that are rapidly growing. One way to approach the extremes is by the application of the Intensity-Duration-Frequency (IDF) curves. The annual maximum rainfall intensity (AMRI) characteristics are often used to construct these IDF curves that are being used in several infrastructure designs for urban areas. Thus, there is a necessity to obtain high temporal and spatial resolution rainfall information. Many urban areas of developing countries lack long records of short-duration rainfall. The shortest duration obtained is normally at a daily scale/24 h. This paper suggests their generation based on annual daily maximum rainfall (ADMR) records. Rainfall data of 23 (Twenty three) hydrological years of all stations were used. Maximum rainfall frequency analysis was made by Log-Normal Distribution method

  Key-Words / Index Term
  Climate change, Daily Maximum Rainfall, Intensity Duration Frequency (IDF), Log-Normal Distribution, Rainfall Duration

  References
  [1]. Bell F. C., 1969, “Generalized rainfall-duration- frequency relationship”, ASCE J. Hydraulic Eng., 95, 311–327.
  [2]. Bernard, M. M., (1932), “Formulas for rainfall intensities of long durations”. Trans. ASCE 6:592 - 624.
  [3]. Bhaskar, N. R.; Parida, B. P.; Nayak, A. K. 1997. Flood Estimation for Ungauged Catchments Using the GIUH. Journal of Water Resources Planning and Management., ASCE 123(4): 228-238.
  [4]. Chow V.T., D.R. Maidment and L.W.Mays, 1988, “Applied Hydrology”, McGraw- Hill, Chapter 10 – Probability, Risk and Uncertainty Analysis for Hydrologic and Hydraulic Design: 361 – 398.
  [5]. M. M. Rashid, 1 S. B. Faruque and 2 J. B. Alam 2012, “Modeling of Short Duration Rainfall Intensity Duration Frequency (SDRIDF) Equation for Sylhet City in Bangladesh.
  [6]. Mohammed Badiuddin Parvez, M Inayathulla “Generation Of Intensity Duration Frequency Curves For Different Return Period Using Short Duration Rainfall For Manvi Taluk Raichur District Karnataka”, International Research Journal of Engineering and Management Studies (IRJEMS), Volume: 03 Issue: 04 | April -2019.
  [7]. Mohammed Badiuddin Parvez, M Inayathulla “Prioritization Of Subwatersheds of Cauvery Region Based on Morphometric Analysis Using GIS”, International Journal for Research in Engineering Application & Management (IJREAM), Volume: 05 Issue: 01, April -2019. 4.
  [8].Mohammed Badiuddin Parvez, M Inayathulla “Modelling of Short Duration Isopluvial Map For Raichur District Karnataka”, International Journal for Science and Advance Research in Technology (IJSART), Volume: 05 Issue: 4, April -2019.
  [9]. Mohammed Badiuddin Parvez, M Inayathulla, "Rainfall Analysis for Modelling of IDF Curves for Bangalore Rural, Karnataka", International Journal of Scientific Research in Multidisciplinary Studies , Vol.5, Issue.8, pp.114-132, 2019
  [10].Mohammed Badiuddin Parvez, and M Inayathulla. "Generation of Short Duration Isohyetal Maps For Raichur District Karnataka" International Journal Of Advance Research And Innovative Ideas In Education Volume 5 Issue 2 2019 Page 3234-3242
  [11].Mohammed Badiuddin Parvez, and M Inayathulla. " Derivation Of Intensity Duration Frequency Curves Using Short Duration Rainfall For Yermarus Raingauge Station Raichur District Karnataka" International Journal of Innovative Research in Technology Volume 6 Issue 2 July 2019 Page 1-7
  [12].Mohammed Badiuddin Parvez, Chalapathi K and M Inayathulla. " Geomorphological Analysis of Two Mini-Watersheds in Raichur City Karnataka" International Research Journal of Engineering and Technology (IRJET) Volume 6 Issue 6 June 2019 Page 2896-2901
  

  Citation
  Mohammed Badiuddin Parvez, M Inayathulla, "Statical Analysis of Rainfall for Development of Intensity-Duration-Frequency curves for Upper Cauvery Karnataka by Log-Normal Distribution," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.5, pp.12-33, 2019

• Open Access   Article

  Double-Framed Created Retrenchment N-Fuzzy Soft Ideal Lattice Structures

  G. Rethnarexlin, G. Subbiah, V. Nagarajan

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.6 , Issue.5 , pp.34-39, Oct-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i5.3439

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  In this article, we introduce a created double-framed retrenchment structure which is the generalization of negative-valued function. Using this double-framed negative-valued structure, we have applied in a B-algebra and hence introduced the notion of a double-framed negative- valued B-algebra, double-framed N-fuzzy soft structures. Also the characterization of double-framed N- fuzzy soft ideal lattice is presented

  Key-Words / Index Term
  B-algebra, fuzzy set, soft set, N-fuzzy soft ideal lattice, double-framed N- structure, retrenchment, created N-fuzzy soft ideal

  References
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  [2]Y. B. Jun, H. S. Kim and E. H. Roh, Ideal theory of subtraction algebras, Sci. Math. Jpn., 61 (2005), 459-464.
  [3]Y. B. Jun and H. S. Kim, On ideals in subtraction algebras, Sci. Math. Jpn., 65 (2007), 129-134.
  [4]Y. B. Jun, Soft BCK/BCI-algebras, Comput. Math. Appl., 56 (2008), 1408-1413.
  [5]Y. B. Jun and C. H. Park, Applications of soft sets in ideal theory of BCK/BCI- algebras, Information Sciences, 178 (2008),2466-2475.
  [6]Y. B. Jun, K. J. Lee and C. H. Park, Soft set theory applied to commutative ideals in BCK algebras,J.Appl.Math.andInformatics,26(2008),707-720.
  [7]Y. B. Jun and C. H. Park, Applications of soft sets in Hilbert algebras, Iranian Journal of Fuzzy Systems, 6(2) (2009), 75-88.
  [8]Y. B. Jun, H. S. Kim and J. Neggers, Pseudo d-algebras, Information Sciences, 179 (2009), 1751-1759.
  [9]Y. B. Jun, K. J. Lee and C. H. Park, Soft set theory applied to ideals in d-algebras, Comput. Math. Appl., 57 (2009), 367-378.
  [10]Jun Y. B. &Ahn S. S. (2012), Double-framed soft sets with applications in BCK/BCI algebras, Journal of Applied Mathematics, Vol.2012, ArticleI17815915
  [11]P. K. Maji, R. Biswas and A. R. Roy, Fuzzy soft sets, J. Fuzzy Math., 9(3) (2001), 589- 602.
  [12]P. K. Maji, A. R. Roy and R. Biswas, An application of soft sets in a decision making problem, Comput. Math. Appl., 44 (2002), 1077-1083.
  [13]P. K. Maji, R. Biswas and A. R. Roy, Soft set theory, Comput. Math. Appl., 45 (2003), 555-562.
  [14]D. A. Molodtsov, Soft set theory-first results, Comput. Math. Appl., 37 (1999), 19-31.
  [15]C. H. Park, Y. B. Jun and M. A. Ozturk, Soft WS-algebras, Commun. Korean Math. Soc., 23(3) (2008),313-324.
  [16]L. A. Zadeh, Fuzzy Sets, Information and Control, 8 (1965), 338-35.
  

  Citation
  G. Rethnarexlin, G. Subbiah, V. Nagarajan, "Double-Framed Created Retrenchment N-Fuzzy Soft Ideal Lattice Structures," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.5, pp.34-39, 2019

• Open Access   Article

  Solution of Specific Fractional Differential Equations by Natural Integral Transform

  G. P. Kamble, B. R. Sontakke

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.6 , Issue.5 , pp.40-45, Oct-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i5.4045

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  Abstract
  In this paper, we apply the natural integral transform to some specific fractional differential equations which are easy to implement and are very effective and simple in performing a solution of the fractional differential equations. The solution was investigated in details with the help of natural integral transform. Here we apply natural integral transform to the fractional diffusion equation under external force, ∂^α/〖∂t〗^α u(x,t)=D ∂^2/〖∂t〗^2 u(x,t)-∂/∂t (f(x),u(x,t)),0<α≤1,D>0 Where u(x,t) represent the probability density function for finding a particle at the point x at the time instant t, the positive constant D depends on the temperature, the friction coefficient, the universal gas constant and finally on the Avogordo number f(x) are the external forces. The natural integral transform gives the solution of this diffusion equation which is in fractional form

  Key-Words / Index Term
  Fractional derivative, Natural transform, Diffusion equation, Fractional differential equation, Homotopy perturbation method

  References
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  [9]. J. H. He; “New Perturbation Technique which is also valid for large Parameters”, Journal of Sound and Vibration, 229, pp. 1257-1263.
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  [11]. Kumar D. Singh, J. Kumar S.; “Numerical Computation of non-linear fractional Zakharov-Kuznetsov equation arising in ion-acoustic waves”, J. Egypt Mat. Soc., 22 (3), pp.373-378 (2014).
  [12]. Ma. Hc. Yao, DD. Peng, XF; “Exact solution of non-linear fractional partial differential equations by sub-equation method”, Them. Sci., 19 (4), pp.1239-1244 (2015).
  [13]. Mohyud-Din, ST. Nawaz, T. Azhar, E. Akbar, MA; “Fractional sub-equation method to space-time fractional Calogero-Degaspenris and potential kadomtsev-Petviashvili equation”, Journal of Taiban University for Science, (2015).
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  [15]. S. Z. Rida, A. S. Abedl-Rady, A. A. M. Arafa, H. R. Abedl-Rahim; “Natural Transform for Solving Fractional Systems”, International Journal of Pure and Applied Science and Technology, 30(2) (2015), pp. 64-75.
  [16]. D. H. Shou; “The Homotopy Perturbation Method for Non-linear Oscillators”, Computers and Mathematics with Applications, 58, pp.2456-2459. (2009).
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  Citation
  G. P. Kamble, B. R. Sontakke, "Solution of Specific Fractional Differential Equations by Natural Integral Transform," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.5, pp.40-45, 2019

• Open Access   Article

  Algebraic Structures of Soft Sub Fields in View of Fuzzy Soft Environment

  J.Regala Jebalily, G. Subbiah, V. Nagarajan

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.6 , Issue.5 , pp.46-51, Oct-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i5.4651

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  Abstract
  In this paper, we discuss the analysis of fuzzy soft sub modules over subfields of a field. Some related properties about algebraic substructures of soft fields and soft sub modules are investigated and illustrated by many examples. Finally, we discuss the correlation coefficient between them

  Key-Words / Index Term
  Soft set. fuzzy set, interval valued fuzzy set, soft module , soft subfield, trivial, whole, correlation, intersection, product, union

  References
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  [21] P.K. Maji, A.R. Roy, R. Biswas, An application of soft sets in a decision making problem, Comput. Math. Appl. 44 (2002) 1077–1083.
  [22] P.K. Maji, R. Biswas, A.R. Roy, Soft set theory, Comput. Math. Appl. 45 (2003) 555–562.
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  Citation
  J.Regala Jebalily, G. Subbiah, V. Nagarajan, "Algebraic Structures of Soft Sub Fields in View of Fuzzy Soft Environment," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.5, pp.46-51, 2019

• Open Access   Article

  Properties of Digraphs Associated With Finite Cyclic Groups

  Jimly Manuel, Bindhu K Thomas

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.6 , Issue.5 , pp.52-56, Oct-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i5.5256

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  Abstract
  Studies have been made to investigate the relation between finite cyclic group and the associated digraph. Let be the cyclic group of order . The corresponding digraph is a simple digraph with vertex set equal to and two distinct vertices are joined by an arc from to if and only if there exists such that . In this paper we present some basic results on these digraphs associated with the cyclic group . The connection between group theoretical properties of the cyclic group and the structural properties of are investigated. The structure of digraph using generators of cyclic group are studied and established some results connecting degrees of the vertices of the digraph and the generators of the corresponding cyclic group. We also studied about the connectedness, condensation and point basis of this digraph.

  Key-Words / Index Term
  Cyclic Group , Digraph , Connectedness, Condensation, Point Basis

  References
  [1] F Harary, Graph Theory, Narosa Publishing House, 2001
  [2] John B. Fraleigh, A first course in Abstract Algebra, Seventh edition, Pearson
  [3] Moharram N. Iradmusaand Cheryl E. Praeger, Two-Sided Group Digraphs and Graphs, Journal of Graph Theory , Vol 82, Issue 3, Pages 279-295.
  [4] R. Baalakrishnan, K. Ranganathan, A Textbook of Graph Theory, Second edition.
  [5] Sonja Willis, Hamiltonian Paths and Cayley Digraphs of Algebraic Groups, UCSD Honors Thesis 2001.
  [6] G Sabidussi, Graphs with given group and given graph- theoretical properties Canad. J. Math., 9 (1957), pp. 515-525
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  [8] Sergei Silvestrov , Generating sets, Cayley digraphs. Groups of permutations as Universal model. Cayley’s theorem, Spring term 2011, lecture 10.
  

  Citation
  Jimly Manuel, Bindhu K Thomas, "Properties of Digraphs Associated With Finite Cyclic Groups," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.5, pp.52-56, 2019

• Open Access   Article

  Estimation of Stress Strength Reliability for Transmuted Exponentiated Inverse Rayleigh Distribution

  Parameshwar V. Pandit, Kavitha, N.

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.6 , Issue.5 , pp.57-62, Oct-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i5.5762

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  The problem of estimation of reliability of systems in stress-strength set up is an important area of research in Statistics, particularly, in Statistical Inference on reliability. In this paper, the estimation of stress-strength reliability when the strength and stress variables are assumed to be independently distributed as transmuted exponentiated inverse Rayleigh distribution (TEIRD) is considered. The TEIRD is a general distribution which includes transmuted inverse Rayleigh distribution, exponentiated inverse Rayleigh distribution and inverse Rayleigh distribution as a particular cases. The maximum likelihood estimator of stress -strength model is derived. Also, asymptotic confidence interval for reliability is constructed. The real data analysis is considered and the simulation study is conducted

  Key-Words / Index Term
  Stress-strength model, Reliability, Maximum likelihood estimator

  References
  [1]. Ahmad, A., Transmuted inverse Rayleigh distribution: A generalization of the inverse Rayleigh distribution, Vol.4, No.7, pp. No. 90-98, 2014.
  [2]. Ashour, S. K. and Eltehiwy, M. A., Transmuted Lomax distribution, American Journal of Applied Mathematics and Statistics, Vol. 1, N0.6, pp. 121-127, 2013.
  [3]. Aryal, G. R. and Tsokos, C. P., On the transmuted extreme value distribution with application, Nonlinear Analysis: Theory, Methods and Applications, Vol. 71, pp. 1401-1407, 2009.
  [4]. Hassan, M. KH. and Alohali, M. I., Estimation of reliability in a multicomponent stress strength model based on generalized linear failure rate distribution, Hacettepe University Bulletin of Natural sciences and engineering series B: Mathematics and Statistics Vol. 47, No.2, 2016.
  [5]. Merovci, F., Transmuted Lindley distribution, International Journal of Open problems Compt. Math. Vol. 6, pp. 63-72, 2013(b).
  [6]. Merovci, F. and Puka, L., Transmuted pareto distribution, ProbStat Forum, Vol. 7, pp. 1-11, 2014.
  [7]. Muhammad, A. H., The transmuted exponentiated inverse Rayleigh distribution, Journal of Statistics Applications and Probability, Vol. 5, No. 2, pp. 337-343, 2016.
  [8]. Saracoglu, B. Kinaci, I. and Kundu, D., On estimation of R=P(Y < X) for exponential distribution under progressive type-II censoring, Journal of Statistical Computation and Simulation, Vol. 82, No. 5, pp. 729-744, 2012.
  [9]. Shaw, W. T., Buckley, I. R. C., The alchemy of probability distribution: beyond Gram-Charlier& Cornish-Fisher expansions, and a skew-normal kurtic- normal distributions, IMA first conference on computational finance, 2007.
  [10]. Rehman, S and Dar, I. S., Bayesian analysis of exponentiated inverse Rayleigh distribution under different priors, MPhil Thesis, 2015.
  [11]. Xia, Z. P., Yu, J. Y., Cheng, L. D., Liu, L. F. and Wang, W. M., Study on the breaking strength of jute fibers using modified Weibull distribution, Journal of Composites Part A- Applied Science and Manufacturing, Vol. 40, pp.No. 54-59, 2009.
  

  Citation
  Parameshwar V. Pandit, Kavitha, N., "Estimation of Stress Strength Reliability for Transmuted Exponentiated Inverse Rayleigh Distribution," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.5, pp.57-62, 2019

• Open Access   Article

  Some Properties of a-Gaussian Polynomials

  Ananta Kr. Bora

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.6 , Issue.5 , pp.63-67, Oct-2019

  CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i5.6367

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  In [1] George E. Andrews studied a- Gaussian polynomials. In this paper we obtain some properties, q-analogue of binomial coefficient and partition theoretic interpretation of these polynomials

  Key-Words / Index Term
  a-Gaussian polynomials, Gaussian polynomials, q shifted factorial, partitions

  References
  [1] G.E Andrews, “ a-Gaussian Polynomials and Finite Rogers-Ramanujan Identities”, Theory and Application of special Functions pp. 59-67,Vol. 13 Springer.
  [2] G.E. Andrews, “ Problem 74-12,S.I.A.M Review, 16 (1974),390.
  [3] G.E. Andrews, “ The Theory of partitions” Addision-Wesley, Reading, 1976.
  [4] G.E. Andrews, “q-Trinomial coefficients and the Rogers-Ramanujan identities Analytic Number theory ,pp 1-11, B.Berndt et al. eds.,Birkhauser, Boston, 1990.
  [5] W.N. Bailey, “Identities of Rogers-Ramanujan type, Proc. Lond. Math. Soc (2),50 (1949),1-10.
  [6] D.M.Bressoud, Solution to problem 74-12 SIAM, Review, 23(1981),101-104
  

  Citation
  Ananta Kr. Bora, "Some Properties of a-Gaussian Polynomials," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.5, pp.63-67, 2019

• Open Access   Article

  On the Impact of Outliers in Time Series Analysis (A Case Study of NPA Generated Revenue)

  A.E. Uduma, O.R. Uwaeme

  Research Paper | Journal-Paper (IJSRMSS)

  Vol.6 , Issue.5 , pp.68-75, Oct-2019

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  Abstract
  Detection of outliers in time series analysis has turned out to be a very essential subject matter. The objective of this study is to compare the forecast of a time series data with outlier and without outliers using the forecast evaluation criterion in order to examine the impact of outliers in model building. The study therefore examined the monthly NPA revenue generated series from 2002 to 2014. The Bartlett’s power transformation technique was employed. Outlier detection methods were initiated which detected outliers in the series. The series were then divided into two (with and without outlier). The Box and Jenkins technique was employed for model building. The results indicated that the forecast of the treated transformed series without outliers produced a perfect fit for the NPA revenue generated series

  Key-Words / Index Term
  Outliers, Bartlett’s power Transformation, Box and Jenkins technique

  References
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  Citation
  A.E. Uduma, O.R. Uwaeme, "On the Impact of Outliers in Time Series Analysis (A Case Study of NPA Generated Revenue)," International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.5, pp.68-75, 2019