Open AccessDoes the Type of Records Affect the Estimates of the Parameters?
Author(s) -
Ayush Tripathi,
Umesh Singh,
Sanjay Kumar Singh
Publication year - 2022
Publication title -
journal of modern applied statistical methods
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.169
H-Index - 28
ISSN - 1538-9472
DOI - 10.22237/jmasm/1608552300
Subject(s) - mathematics , estimator , statistics , maximum likelihood , estimation , rayleigh distribution , type (biology) , mean squared error , econometrics , probability density function , ecology , management , economics , biology
The maximum likelihood estimation of the unknown parameters of inverse Rayleigh and exponential distributions are discussed based on lower and upper records. The aim is to study the effect of the type of records on the behavior of the corresponding estimators. Mean squared errors are calculated through simulation to study the behavior of the estimators. The results shall be of interest to those situations where the data can be obtained in the form of either of the two types of records and the experimenter must decide between these two for estimation of the unknown parameters of the distribution.