Approximation to the Mean and Variance of the Modified Moments Estimator of the Shape Parameter of Weibull Distribution

Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 7, Issue 2

Abstract

In this paper we consider the Weibull distribution of two parameters , since has been widely used as a model in many areas of applications. Properties of the distribution are introduced . Estimation of the distribution parameters is obtained by the modified moments method. The estimator of the shape parameter has so complicated form and it is difficult to find the properties of estimator so approximation to the mean and variance of the estimator is made theoretically by utilizing Taylor series expansion up to second order derivative.

Authors and Affiliations

Samer Mohammed Saleh

Keywords

Related Articles

Approximation of The Lower Operator in Nonlinear Differential Games with Non-Fixed Time

Approximate properties of the lower operator in nonlinear differential games with non-fixed time are studied.

Statistical Determination Of The Constants Of The Atmospheric Refraction Formula

In the present paper an efficient algorithm based on the least squares method was developed for the determination of the constants A&B of the atmospheric refraction formula. The principles of atmospheric refraction a...

Attracting Sets Of Nonlinear Difference Equations With Time-Varying Delays

In this paper, a class of nonlinear difference equations with time-varying delays is considered. Based on a generalized discrete Halanay inequality, some sufficient conditions for the attracting set and the global a...

An iterative method for solving boundary value problems for second order differential equations

The purpose of this paper is to investigate the application of the Adomian decomposition method (ADM) for solving boundary value problems for second-order differential equations with Robin boundary conditions. We first r...

Exponential permutable semigroups

A semigroup  is called a permutable semigroup if  is satisfied for all congruences  and  of .  A semigroup is called an exponential semigroup if it satisfies the identity  for every integer...

Download PDF file
  • EP ID EP651305
  • DOI 10.24297/jam.v7i2.2593
  • Views 137
  • Downloads 0

How To Cite

Samer Mohammed Saleh (2014). Approximation to the Mean and Variance of the Modified Moments Estimator of the Shape Parameter of Weibull Distribution. JOURNAL OF ADVANCES IN MATHEMATICS, 7(2), 1209-1218. https://europub.co.uk/articles/-A-651305