Evaluation and comparison of estimations in the generalized exponential-Poisson distribution

On the Estimation for the Weibull Distribution

“…The weighted least squares estimators of the unknown parameters, α and λ, say α wls and λ wls respectively, can be obtained by minimizing 6) where…”

“…Similar studies have appeared in the recent literature for other distributions. For example, [6] derive estimators of the pdf and the CDF of a three-parameter generalized exponential-Poisson distribution when all but its shape parameter are assumed known. [2] derive estimators of the pdf and the CDF of a two-parameter generalized Rayleigh distribution when all but its shape parameter are assumed known.…”

Parameter Estimation of Exponentiated U-Quadratic Distribution: Alternative Maximum Likelihood and Percentile Methods

“…For example, recently [1] consider the estimation of parameters of Kumaraswamy (Kw) distribution by ten different approaches including maximum likelihood and percentile methods. [2] compare the estimations in the generalized exponential Poisson (GEP) by several methods including maximum-likelihood and percentile. Estimation of the parameters of Weibull (W) via percentile method was analyzed by [3].…”

The best single-observational and two-observational percentile estimations in the exponentiated Weibull-geometric distribution compared with maximum likelihood and percentile estimations

“…The estimation of probability density function (PDF) and cumulative density function (CDF) of several lifetime distributions using the maximum likelihood (ML), uniformly minimum variance unbiased (UMVU), percentile (PC), least squares (LS) and weighted least squares (WLS) estimators have been obtained and compared by researchers. A number of papers have been attempted to estimate the lifetime distribution parameters, for instance the estimation of pdf and cdf of the Pareto distribution by Dixit and Jabbari Nooghabi (2010), exponentiated Pareto distribution by Jabbari , exponentiated Gumbel distribution by Bagheri et al (2013b), generalized Rayliegh distribution by Alizadeh et al (2013) and generalized Poisson-exponential distribution by Bagheri et al (2013a). Note that Menon (1963) and Zanakis and Mann (1982) estimated the parameters of Weibull distribution by best single-observation percentile estimation (BSPE) and best two-observation percentile estimation (BTPE), but in this research the PDF and CDF of the Exponentiated Weibull-Geometric (EWG) which is originally introduced by Mahmoudi and Shiran (2012) are obtained by BSPE and BTPE methods for One or Two known parameters and compared with the corresponding estimations found by PC and MLE procedures.…”