Estimation with the lognormal distribution on the basis of records

Doostparast, Mahdi; Sanjel, Deepak; Zangoie, Amin

doi:10.1080/00949655.2012.691973

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Cited by 10 publications

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“…See for example, Doostparast et al [8] and Gupta and Kundu [9]. Here we will use the asymptotic normality of the MLEs to construct the confidence intervals and region for the parameters.…”

Section: Resultsmentioning

confidence: 99%

Interval Estimation for the Two-Parameter Bathtub-Shaped Lifetime Distribution Based on Records

Asgharzadeh

Abdi²,

2014

HJMS

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In this paper, we study the estimation problems for the two-parameter bathtub-shaped lifetime distribution based on upper record values. Exact confidence intervals and exact joint confidence regions for the parameters are constructed. Approximate confidence intervals and regions are also discussed based on the asymptotic normality of the maximum likelihood estimators. A simulation study is done for the performance of all proposed confidence intervals and regions. Two numerical examples with real data set and simulated data, are presented to illustrate the methods proposed here.

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“…See for example, Doostparast et al [8] and Gupta and Kundu [9]. Here we will use the asymptotic normality of the MLEs to construct the confidence intervals and region for the parameters.…”

Section: Resultsmentioning

confidence: 99%