A new generalized transmuted distribution-Reference-Cited by-同舟云学术

A new generalized transmuted distribution

Published:2022-12-01 Issue:2 Volume:18 Page:77-101
ISSN:1339-0015
Container-title:Journal of Applied Mathematics, Statistics and Informatics
language:en
Short-container-title:

Author:

Wani S. A.¹,Dar S. A.²

Affiliation:

1. Department of Statistics , Government Degree College Sopore , India

2. Department of Statistics , University of Kashmir , Srinagar , , India

Abstract

Abstract We introduced Transmuted another Two-Parameter Sujatha Distribution by using Quadratic Rank Transmutation Map technique. Various necessary statistical properties of Transmuted another Two-Parameter Sujatha Distribution are obtained. The reliability measures of proposed model are also derived and model parameters are estimated by using maximum likelihood estimation method. The significance of transmuted parameter has been tested by using likelihood ratio statistic. Finally, an application to real data sets is presented to examine the significance of newly introduced model by computing Kolmogorov statistic, p-value, AIC, BIC, AICC, HQIC.

Publisher

Walter de Gruyter GmbH

Subject

General Medicine

Link

https://www.sciendo.com/pdf/10.2478/jamsi-2022-0013

Reference13 articles.

1. [1] W. Shaw and I. Buckley, The Alchemy of Probability Distributions: Beyond Gram-Charlier Expansions and a Skew-Kurtotic-Normal Distribution from a Rank Transformation Map, arX. prer. arX. (2007), 0901.0434.

2. [2] G. R. Aryal and C. P. Tsokos, On the Transmuted Extreme Value Distribution with Applications, Nonl. Anal. Th. Meth. Appl. 71 (2009), no. 12, 1401-1407.10.1016/j.na.2009.01.168

3. [3] A. Hassan, S. A. Wani and B. A. Para, On three Parameter Weighted Quasi Lindley Distribution: Properties and Applications, Int. Jou. Sci. Res. Math. Stat. Sci, 5 (2018), no. 5, 210-224.10.26438/ijsrmss/v5i5.210224

4. [4] A. Hassan, S. A. Wani, S. Shafi and B. A. Sheikh, Lindley-Quasi Xgamma Distribution: Properties and Applications, Pak. Jou. Stat. 36 (2020), no. 1, 73-89.

5. [5] F. Merovci, Transmuted Rayleigh Distribution, Aust. Jou. Stat. 42 (2013), no. 1, 21-31.10.17713/ajs.v42i1.163