Pranav Quasi Gamma Distribution: Properties and Applications

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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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  -