The maximum likelihood eetimator of the variance of a normal distribution when it is known for certain that the yariance is greater than or equal to a known positive constant is given and its properties are studied.
Is is assumed that the population mean, to be estimated, is less than or equal to a known constant. An estimator is suggested which takes into account this information to advantage. It is also suggested that stratification coupled with the modified estimator can be best suited in such situations.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.