THE EXPONENTIATED GENERALIZED POWER FUNCTION DISTRIBUTION: THEORY AND REAL LIFE APPLICATIONS

2020 ◽  
Vol 61 (1) ◽  
pp. 33-63
Author(s):  
Azam Zaka ◽  
Ahmad Saeed Akhter ◽  
Riffat Jabeen
Keyword(s):  
Power Function ◽  
Real Life ◽  
Distribution Theory ◽  
Function Distribution ◽  
Power Function Distribution

scholarly journals Classical and Bayesian Estimation of Two-Parameter Power Function Distribution

2021 ◽  
Author(s):  
Xuechen Liu ◽  
Muhammad Arslan ◽  
Majid Khan ◽  
Syed Masroor Anwar ◽  
Zahid Rasheed
Keyword(s):  
Maximum Likelihood ◽  
Power Function ◽  
Real Life ◽  
Maximum Likelihood Estimates ◽  
Time Model ◽  
Data Set ◽  
Bayes Estimates ◽  
Function Distribution ◽  
Power Function Distribution ◽  
Two Parameter

The power function distribution is a flexible waiting time model that may provide better fit for some failure data. This paper presents the comparison of the maximum likelihood estimates and the Bayes estimates of two-parameter power function distribution. The Bayes estimates are obtained, using conjugate priors, under five loss functions consist of square error, precautionary, weighted, LINEX and DeGroot loss function. The Gibbs sampling algorithm is proposed to generate samples from posterior distributions and in result the Bayes estimates are computed. The comparison of the maximum likelihood estimates and the Bayes estimates are done through the root mean squared errors. One real-life data set is analyzed to illustrate the evaluation of proposed methods of estimation. Finally, results from the simulation are discussed to assess the performance behavior of the maximum likelihood estimates and the Bayes estimates.

scholarly journals The new reflected power function distribution: Theory, simulation & application

2020 ◽  
Vol 5 (5) ◽  
pp. 5031-5054
Author(s):  
Azam Zaka ◽  
◽  
Ahmad Saeed Akhter ◽  
Riffat Jabeen ◽  
Keyword(s):  
Power Function ◽  
Distribution Theory ◽  
Function Distribution ◽  
Power Function Distribution ◽  
Reflected Power

scholarly journals A Characterization and Recurrence Relations of Moments of the Size-Biased Power Function Distribution by Lower Record Values

2018 ◽  
Vol 7 (5) ◽  
pp. 1
Author(s):  
Shakila Bashir ◽  
Mujahid Rasul
Keyword(s):  
Power Function ◽  
Recurrence Relations ◽  
Survival Function ◽  
Joint Probability ◽  
Record Values ◽  
Cumulative Distribution ◽  
Function Distribution ◽  
Power Function Distribution ◽  
Lower Record ◽  
Lower Record Values

A variety of research papers have been published on record values from various continuous distributions. This paper investigated lower record values from the size-biased power function distribution (LR-SPFD). Some basic properties including moments, skewness, kurtosis, Shannon entropy, cumulative distribution function, survival function and hazard function of the lower record values from SPFD have been discussed. The joint probability density function (pdf) of $n^{th}$ and $m^{th}$ lower record values from SPFD is developed. Recurrence relations of the single and product moments of the LR-SPFD have been derived. A characterization of the lower record values from SPFD is also developed.

Optimum Step Stress Accelerated Life Testing for Power Function Distribution

2012 ◽  
Vol 32 (2) ◽  
pp. 4-16
Author(s):  
Shashi Saxena ◽  
Shazia Zarrin ◽  
Mustafa Kamal ◽  
Arif-ul-lslam
Keyword(s):  
Power Function ◽  
Accelerated Life Testing ◽  
Life Testing ◽  
Function Distribution ◽  
Accelerated Life ◽  
Power Function Distribution
Sign in / Sign up

Export Citation Format

Share Document