Estimations of the skew parameter in a skewed double power function distribution

Kang, Jun-Ho; Lee, Chang‐Soo

doi:10.7465/jkdi.2013.24.4.901

Cited by 2 publications

(1 citation statement)

References 7 publications

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“…Balakrishnan (1989) suggested approximate MLEs which is the alternate of the MLE for the uncalculative likelihood function. See for example the work of Cho et al (2013), Kang and Lee (2013), and Lee and Lee (2012).…”

Section: Type I Hybrid Censoring Schemementioning

confidence: 99%

Estimation for the Rayleigh distribution based on Type I hybrid censored sample

Kwon¹,

Lee

Cho

2014

Journal of the Korean Data and Information Science Society

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Type I hybrid censoring scheme is the combination of the Type I and Type II censoring scheme introduced by Epstein (1954). Epstein considered a hybrid censoring sampling scheme in which the life testing experiment is terminated at a random time T * , which is the time that happens first among the following two; time of the kth unit is observed or time of the experiment length set in advance. The likelihood function of this scheme from the Rayleigh distribution cannot be solved in a explicit solution and thus we approximate the function by the Taylor series expansion. In this process, we propose four different methods of expansion skill.

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Section: Type I Hybrid Censoring Schemementioning

confidence: 99%

Estimation for the Rayleigh distribution based on Type I hybrid censored sample

Kwon¹,

Lee

Cho

2014

Journal of the Korean Data and Information Science Society

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Estimation of the exponential distribution based on multiply Type I hybrid censored sample

Lee¹,

Sun²,

Cho³

2014

Journal of the Korean Data and Information Science Society

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The exponential distibution is one of the most popular distributions in analyzing the lifetime data. In this paper, we propose multiply Type I hybrid censoring. And this paper presents the statistical inference on the scale parameter for the exponential distribution when samples are multiply Type I hybrid censoring. The scale parameter is estimated by approximate maximum likelihood estimation methods using two different Taylor series expansion types (AMLEI, AMLEII). We also obtain the maximum likelihood estimator (MLE) of the scale parameter σ under the proposed multiply Type I hybrid censored samples. We compare the estimators in the sense of the root mean square error (RMSE). The simulation procedure is repeated 10,000 times for the sample size n=20 and 40 and various censored schemes. The AMLEII is better than AMLEI in the sense of the RMSE.

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Estimations of the skew parameter in a skewed double power function distribution

Cited by 2 publications

References 7 publications

Estimation for the Rayleigh distribution based on Type I hybrid censored sample

Estimation for the Rayleigh distribution based on Type I hybrid censored sample

Estimation of the exponential distribution based on multiply Type I hybrid censored sample

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