A Characterization of the Power Function Distribution

1974 ◽  
Vol 2 (1) ◽  
pp. 95 ◽  
Author(s):  
M. Ahsanullah ◽  
A. B. M. Lutful Kabir
Keyword(s):  
Power Function ◽  
Function Distribution ◽  
Power Function Distribution

Characterization of power function distribution based on spacings

2016 ◽  
Vol 53 (1) ◽  
pp. 1-6
Author(s):  
G. G. Hamedani ◽  
H. W. Volkmer
Keyword(s):  
Uniform Distribution ◽  
Power Function ◽  
Function Distribution ◽  
Power Function Distribution

A characterization of power function distribution based on the distribution of spacings is presented here extending the existing characterizations of the uniform distribution in this direction.

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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