Journal of Statistical Theory and Applications

Volume 19, Issue 4, December 2020, Pages 506 - 517

Pranav Quasi Gamma Distribution: Properties and Applications

Authors
Sameer Ahmad Wani1, Anwar Hassan1, Shaista Shafi1, Sumeera Shafi2, *
1Department of Statistics, University of Kashmir, Srinagar, 190006, India
2Department of Mathematics, University of Kashmir, Srinagar, 190006, India
*Corresponding author. Email: sumeera.shafi@gmail.com
Corresponding Author
Sumeera Shafi
Received 28 June 2020, Accepted 24 November 2020, Available Online 7 December 2020.
DOI
10.2991/jsta.d.201202.001How to use a DOI?
Keywords
Quasi gamma distribution; Pranav distribution; Mixture models; Simulation study; Mixing parameter; Structural properties and maximum likelihood estimation
Abstract

We have developed Pranav Quasi Gamma Distribution (PQGD) as a mixture of Pranav distribution (θ) and Quasi Gamma distribution (2,θ). We obtained various necessary statistical characteristics of PQGD. The flexibility of proposed model is clear from graph of hazard function. The reliability measures of proposed model are also obtained. Sample estimates of unknown parameters are obtained by making use of maximum likelihood estimation method. We have also carried out the simulation study for comparing our model with its related models. We then tested the significance of mixing parameter. Finally, applications to real-life data sets is presented to examine the significance of newly introduced model.

Copyright
© 2020 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Statistical Theory and Applications
Volume-Issue
19 - 4
Pages
506 - 517
Publication Date
2020/12/07
ISSN (Online)
2214-1766
ISSN (Print)
1538-7887
DOI
10.2991/jsta.d.201202.001How to use a DOI?
Copyright
© 2020 The Authors. Published by Atlantis Press B.V.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Sameer Ahmad Wani
AU  - Anwar Hassan
AU  - Shaista Shafi
AU  - Sumeera Shafi
PY  - 2020
DA  - 2020/12/07
TI  - Pranav Quasi Gamma Distribution: Properties and Applications
JO  - Journal of Statistical Theory and Applications
SP  - 506
EP  - 517
VL  - 19
IS  - 4
SN  - 2214-1766
UR  - https://doi.org/10.2991/jsta.d.201202.001
DO  - 10.2991/jsta.d.201202.001
ID  - Wani2020
ER  -