Bayesian Estimation and Prediction for the Inverse Weibull Distribution Based on Lower Record Values

2021 ◽  
Vol 10 (2) ◽  
pp. 369-376
Keyword(s):  
Weibull Distribution ◽  
Bayesian Estimation ◽  
Record Values ◽  
Estimation And Prediction ◽  
Inverse Weibull Distribution ◽  
Lower Record ◽  
Lower Record Values

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.

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