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    Comparisons of methods of estimation for the half-logistic distribution
    (Selcuk University Research Center of Applied Mathematics, 2011) Asgharzadeh, A.; Rezaie, R.; Abdi, M.
    In this paper, we consider several methods for estimating the location and scale parameters of the half-logistic distribution. The estimators considered are the maximum likelihood estimators, the approximate maximum likelihood estimators, method of moment estimators, estimators based on percentiles, least squares estimators, weighted least squares estimators and the estimators based on the linear combinations of order statistics. These estimators are compared via Monte Carlo simulations in terms of their biases and mean square errors.
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    Interval estimation for the two-parameter pareto distribution based on record values
    (Selcuk University Research Center of Applied Mathematics, 2011) Asgharzadeh, A.; Abdi, M.; Kuş, Coşkun
    This paper considers the interval estimation problem for the Pareto distribution based on record statistics. We present some exact confidence intervals and exact joint confidence regions for the parameters of Pareto distribution based on record statistics. One of the applications of the joint confidence regions of the parameters is to find confidence bounds for the functions of the parameters. In addition, the predictive interval of the future record based on the observed record values is also proposed. A Monte Carlo simulation is conducted to compare the proposed joint confidence regions. Finally, two numerical examples are given also to illustrate the methods proposed in this paper.