Comparing Methods of Testing the Common Means for Several Multivariate Normal Populations

Comparison of Five Tests for the Common Mean of Several Multivariate Normal Populations

In this article, we evaluate the merits of some tests for testing about the common mean vector of several multivariate normal populations with different covariance matrices. Five tests, including the Fisher’s exact test, are compared with respect to their powers. Powers are estimated using Monte Carlo simulation. Based on the comparison studies, we found that the Fisher’s test and one of the te...

Testing equality of means and variances of several Weibull populations

The usual practice for testing homogeneity of several populations in terms of means and variances is first to test for the equality of variances and once this assumption is found to be tenable then to test the equality of means. Singh (1986) proposes a very interesting procedure based on two likelihood ratio statistics for testing homogeneity of several normal (μ, σ) populations. Singh uses a m...

Equivalence Testing for Mean Vectors of Multivariate Normal Populations

Standardized likelihood ratio test for comparing several log-normal means and confidence interval for the common mean.

Standardized likelihood ratio test (SLRT) for testing the equality of means of several log-normal distributions is proposed. The properties of the SLRT and an available modified likelihood ratio test (MLRT) and a generalized variable (GV) test are evaluated by Monte Carlo simulation and compared. Evaluation studies indicate that the SLRT is accurate even for small samples, whereas the MLRT coul...

Comparing Normal Means: New Methods for an Old Problem*

Comparing the means of two normal populations is a very old problem in mathematical statistics, but there is still no consensus about its most appropriate solution. In this paper we treat the problem of comparing two normal means as a Bayesian decision problem with only two alternatives: either to accept the hypothesis that the two means are equal, or to conclude that the observed data are, und...

the application of multivariate probit models for conditional claim-types (the case study of iranian car insurance industry)

هدف اصلی نرخ گذاری بیمه ای تعیین نرخ عادلانه و منطقی از دیدگاه بیمه گر و بیمه گذار است. تعین نرخ یکی از مهم ترین مسایلی است که شرکتهای بیمه با آن روبرو هستند، زیرا تعیین نرخ اصلی ترین عامل در رقابت بین شرکتها است. برای تعیین حق بیمه ابتدا می باید مقدار مورد انتظار ادعای خسارت برای هر قرارداد بیمه را برآورد کرد. روش عمومی مدل سازی خسارتهای عملیاتی در نظر گرفتن تواتر و شدت خسارتها می باشد. اگر شر...