2017
DOI: 10.1063/1.4991264
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Estimation of shape β parameter in Kumaraswamy distribution using Maximum Likelihood and Bayes method

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Cited by 3 publications
(5 citation statements)
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“… 1 to 9 Tables, the best estimation of reliability is (R 3 ) at a = 1/2, n=50, β=c=4.3 and α=5.5 as well as approaching to (R n ).  The numerical method gives best estimate from R 1 , R 2 and R 3 for all different values of n, a, c, β and α show in above Tables (1)(2)(3)(4)(5)(6)(7)(8)(9).  The sample sizes (n) if increases, the estimation methods approach to the maximum likelihood estimation R(t).…”
Section: Discussionmentioning
confidence: 84%
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“… 1 to 9 Tables, the best estimation of reliability is (R 3 ) at a = 1/2, n=50, β=c=4.3 and α=5.5 as well as approaching to (R n ).  The numerical method gives best estimate from R 1 , R 2 and R 3 for all different values of n, a, c, β and α show in above Tables (1)(2)(3)(4)(5)(6)(7)(8)(9).  The sample sizes (n) if increases, the estimation methods approach to the maximum likelihood estimation R(t).…”
Section: Discussionmentioning
confidence: 84%
“…In this section, some test examples are present for different values n, a, c, β and α shown in Tables (1)(2)(3)(4)(5)(6)(7)(8)(9) to find the best estimated value of the reliability function using least square error. Where T b ML , as in equation ( 5) and t [0, 1) with t i+1 = t i + h, i= 1, 2, …, n-1 , h=1/n and t 1 =0.…”
Section: Test Examplesmentioning
confidence: 99%
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“…Other researchers who compared the Bayesian and Maximum Likelihood estimates include Simbolon et al [17], who compared the Bayesian and maximum likelihood method of estimating the shape parameter of the Kumaraswamy distribution, Singh et al [4], who considered the classical and Bayesian estimation of the parameter and reliability characteristic of extension of the exponential distribution, Kim and Han [3] who considered the maximum likelihood estimation and Bayes estimation of the parameters of the Generalized Exponential Distribution based on progressive first failure censored samples and Ariza-Hernandez et al [18], using different loss functions, different criteria for comparison and arriving at different conclusions under the various prevailing circumstances.…”
Section: Literature Reviewmentioning
confidence: 99%