A new generalization of Aradhana distribution: Properties and applications-Reference-Cited by-同舟云学术

A new generalization of Aradhana distribution: Properties and applications

Published:2020-12-01 Issue:2 Volume:16 Page:51-66
ISSN:1339-0015
Container-title:Journal of Applied Mathematics, Statistics and Informatics
language:en
Short-container-title:

Author:

Hassan A.¹,Dar S. A.¹,Ahmad P. B.²,Para B. A.³

Affiliation:

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

2. Department of Statistics , Islamic University of Science and technology , Awantipora , J&K , India .

3. Department of Statistics , Government Degree College Boys Anantnag , J&K , India .

Abstract

Abstract In this paper, we introduce a new generalization of Aradhana distribution called as Weighted Aradhana Distribution (WID). The statistical properties of this distribution are derived and the model parameters are estimated by maximum likelihood estimation. Simulation study of ML estimates of the parameters is carried out in R software. Finally, an application to real data set is presented to examine the significance of newly introduced model.

Publisher

Walter de Gruyter GmbH

Subject

General Medicine

Link

https://www.sciendo.com/pdf/10.2478/jamsi-2020-0009

Reference12 articles.

1. [1] Bader, M. G., & Priest, A. M. (1982). Statistical aspects of fiber and bundle strength in hybrid composites, In; hayashi T, Kawata K. Umekawa S (Eds.), Progress in Science in Engineering Composites, ICCM-IV Tokyo, 1129-1136.

2. [2] Blumenthal, S. (1963). Proportional sampling in life length studies. Technometrics, 9 (2), 205-218.

3. [3] Fisher, R.A. (1934). The effects of methods of ascertainment upon the estimation of frequencies, The Annals of Eugenics, 6, 13–25.

4. [4] Gupta, R.C., & Kirmani, S.N.U.A. (1990). The role of weighted distributions in stochastic modeling. Comm. Statist. Theory Meth. 19 (9), 3147-3162.

5. [5] Hassan, A., Wani, S.A., & Para, B. A. (2018). On three Parameter Weighted Quasi Lindley Distribution: Properties and Applications, International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(5), 210-224.