|Table of Contents|

Estimation of Parameter for Lindley DistributionBased on Interval Data(PDF)

《南京师大学报(自然科学版)》[ISSN:1001-4616/CN:32-1239/N]

Issue:
2018年04期
Page:
29-
Research Field:
·数学与计算机科学·
Publishing date:

Info

Title:
Estimation of Parameter for Lindley DistributionBased on Interval Data
Author(s):
Long Bing
School of Mathematics and Physics,Jingchu University of Technology,Jingmen 448000,China
Keywords:
Lindley distributioninterval dataEM algorithmmaximum likelihood method
PACS:
O212.1
DOI:
10.3969/j.issn.1001-4616.2018.04.006
Abstract:
Firstly,the maximum likelihood method is used to estimate the unknown parameter in Lindley distribution under Interval data,however,the explicit expression of the parameter can not be obtained. Secondly,it is proposed that EM algorithm can be used to find out estimation of the parameter,and this method has good convergence. Finally,the simulation results show that it is feasible to use EM algorithm to estimate the unknown parameter in Lindley distribution.

References:

[1] LINDLEY D. Introduction to probability and statistics fron a Bayesian viewpoint,part Ⅱ:inference[M]. New York:Cambridge University Press,1965.
[2]LINDLEY D. Fiducial distributions and Bayes’ theorem[J]. Journal of the royal statistical society,1958,20(1):102-107.
[3]GHITANY M E,ATIEH B,NADARAJAH S. Lindley distribution and its application[J]. Mathematics and computers in simulation,2008,78(4):493-506.
[4]GHITANY M E,ALMDK,NADARAJAH S. Zero-truncated Poisson-Lindley distribution and its application[J]. Mathematics and computers in simulation,2008,79(3):279-287.
[5]ZAMANI H,ISMAIL N. Negative binomial-Lindley distribution and its application[J]. Journal of mathematics and statistics,2010,6(1):4-9.
[6]HUANG W P,ZHOU J L. Parameter estimation of Lindley distribution with competing risk data[J]. Systems engineering and electronic,2016,38(2):464-469.
[7]JIE M,ARLENE N R. Inferences about the scale parameter of the gamma distribution based on data mixed from censoring and grouping[J]. Statistics & probability letters,2003,62(3):229-243.
[8]GANG L,ZHANG C H. Linear regression with interval censored data[J]. Ann statist,1998,26:1306-1327.
[9]GAETAN C,YAO J F. A multiple-imputation Metropolis version of the EM algorithm[J]. Biometrika,2003,90(3):643-654.
[10]JIAN H,ROSSINI A J. Sieve estimation for the proportional-odds failure-time regression model with interval censoring[J]. JASA,1997,92:960-967.
[11]RABINOWITZ D,TSIATIS A,ARAGON J. Regression with interval censored data[J]. Biometrika,1995,82:501-513.
[12]ZHENG M,ZHANG H,YANG Y. Estimating parameter in some distributions from grouped data[J]. Journal of Fudan university(natural science),2005,44(3):466-470.
[13]ZHENG M,XIANG Y. Estimating regression coefficients in linear models based on grouped data[J]. Mathematica applicata,2006,19(2):296-303.
[14]LAWLESS J F. Statistical models and methods for lifetime data[M]. New York:Wiley,2003.

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Last Update: 2018-12-30