ebooks logo journals logo reference works logo abstract databases logo
bullet  SIGN IN Register | Why Register? | Got a Voucher? alerts   marked lists   shopping cart 

informaworld

HOME   |   SEARCH   |   BROWSE
    Issues List       Latest Issue       Volume 35 Issue 9       Subscribe       Article       References       Related articles      
<< firstfirst   < prevprev   Table of contentstoc   next >next   last >>last
Publisher Logo Publication Cover
Search within this journal
iOpen

Use of Orthogonal Polynomial Approximations for Inference in Exponential Distribution Based on K-Sample Doubly Type-II Censored Data 

Authors: Deepak Sanjel a; N. Balakrishnan b
Affiliations:   a Department of Mathematics and Statistics, Minnesota State University, Mankato, Minnesota, USA
b Department of Mathematics and Statistics, McMaster University, Hamilton, Canada
DOI: 10.1080/03610920600920511
Publication Frequency: 20 issues per year
Published in: journal Communications in Statistics - Theory and Methods, Volume 35, Issue 9 September 2006 , pages 1671 - 1683
Formats available: HTML (English) : PDF (English)
Article Requests: Order Reprints : Request Permissions


Abstract

Hermite and Laguerre polynomial density approximants have been utilized in order to make inference for the location and scale parameters of an exponential distribution based on K-sample Type-II censored data. First, we evaluate the exact moments of the pivots based on the Best Linear Unbiased Estimators (BLUEs) of the parameters and then, based on these moments, their density approximations are obtained using orthogonal polynomials. A comparative study of the percentiles obtained from the orthogonal polynomial approximation of the distributions of the pivots and the resulting interval estimation of the parameters to the corresponding exact numerical results of Balakrishnan and Lin (2005) and Balakrishnan et al. (2004) is carried out. A comparison is also made with the approximate inference based on the maximum likelihood estimators (MLEs) of the parameters. These comparative studies reveal that the proposed density approximant-based techniques provide very accurate inference.
Keywords: Best linear unbiased estimators; Density approximants; Doubly Type-II censored samples; Exponential distribution; Hermite polynomials; Interval estimation; Laguerre polynomials; Maximum likelihood estimates; Symbolic computation
Mathematics Subject Classification: Primary 62E17, 05E35; Secondary 60E05, 62E15, 62N01
view references (14)
Bookmark with:
  • CiteULike
  • Del.icio.us
  • BibSonomy
  • Connotea
  • More bookmarks
Privacy Policy | Terms & Conditions | Accessibility | RSS
FAQs in: English . Français . Español . 中文(简体和繁體)
© 2010 Informa plc