arrow
Return

Some power function distribution processes

delete2026-03-01
delete1
PRE
AI
B
Barry C. Arnold
S
Sachdeva, Sachin *
B
B. G. Manjunath
DOI:10.1007/s00184-026-01019-4delete
deleteOriginal
deleteOriginal request for help
deleteShare
deleteSave
Abstract

Abstract

En 中文
It is known that all the proportional reversed hazard (PRH) processes can be derived by a marginal transformation applied to a power function distribution (PFD) process. Kundu (2022) investigated PRH processes that can be viewed as being obtained by marginal transformations applied to a particular PFD process. This will be described and investigated, and will be called a Kundu process. In the present note, in addition to studying the Kundu process, we introduce a new PFD process having Markovian and stationarity properties. We discuss distributional features of such processes, explore inferential aspects, and include an example of applications of the PFD processes to real-life data.
Keywords:
Power function distribution processes
Pareto-distribution
Moment methods
Autoregressive
Stationarity
Markovian property

Journal

M
Metrika
IF:
0.9
Papers:
23
Citations:
0

Organization

U
university of hyderabad
Scholars:
460
Papers: 217
Citations: 0
U
university of california riverside
Scholars:
1.1W
Papers: 8.3K
Citations: 16
University of California System cover
University of California System
Scholars:
37.5W
Papers: 33.7W
Citations: 6.6K
researcher View more organizations