Open AccessEstimation of Parameters in Erlang Distribution using Prior Information
Author(s) -
B. Bhaskara Rama Sarma,
V. Vasanta Kumar,
S. V. N. L. Lalitha
Publication year - 2019
Publication title -
international journal of recent technology and engineering
Language(s) - English
Resource type - Journals
ISSN - 2277-3878
DOI - 10.35940/ijrte.b1072.078219
Subject(s) - kurtosis , estimator , statistics , mathematics , erlang (programming language) , erlang distribution , mean squared error , population mean , population , simple random sample , sample size determination , econometrics , computer science , gamma distribution , functional programming , demography , theoretical computer science , sociology
This paper focuses on the estimation of parameters of an Erlang density using known Coefficients of variation and Kurtosis of the population basing on past experience and a simple random sample of size from the population. Estimators using Searle D.T approach are proposed and their bias () and mean squared error () are calculated. The relative efficiency of over conventional estimator is also tabulated for various sample sizes and various C.V values, Kurtosis values. The proposed estimators are observed to be more efficient than under the conditions established. Subject Classification: AMS 62J13