Estimation Accuracy of Exponential Distribution Parameters

Efficient estimation of Pareto model using modified maximum likelihood estimators

“…Lalitha & Mishra [17] suggested the modified maximum-likelihood estimation for scale-parameter of the Rayleigh distribution. Modifications in maximum likelihood estimation and method moments have also been found better than traditional estimators for two-parameter Exponential distribution [18]. Similarly for Power function distribution, Zaka & Akhter [19] have suggested some modifications in the method of maximum likelihood, method of moments and method of percentile estimation.…”

“…For first modification in ML method, we followed Cohen & Whitten [15], Rashid & Akhter [18] and Zaka & Akhter [19] who derived the modified ML estimators for Weibull, Exponential and Power Function distributions, respectively. In this modification, we use median of Pareto distribution and Equation (2).…”

“…For second modification in the method of ML estimation, we followed Cohen & Whitten [21] , Rashid & Akhter [18] and Zaka & Akhter [19]. They derived the modified ML estimators for Gamma, Exponential and Power Function distributions, respectively.…”

“…For third modification in the ML method, we followed Rashid & Akhter [18]. They have derived the modified ML estimator for Exponential distribution.…”

Efficient estimation of Pareto model: Some modified percentile estimators

“…In the literature devoted to parameter estimation, different modifications have been proposed in standard estimation procedures. Modified maximum likelihood estimators and modified moment estimator have been introduced and found efficient than traditional estimators for different probability distributions like three-parameter log-normal [ 23 – 24 ], three-parameter Weibull [ 25 ], three-parameter Gamma [ 26 ], Rayleigh [ 27 ], two-parameter Exponential [ 28 ], and two-parameter Power Function [ 29 ].…”