let be a random sample from a normal distribution with unknown mean and known variance the usual estimator of the mean, i.e., sample mean is the maximum likelihood estimator which under squared error loss function is minimax and admissible estimator. in many practical situations, is known in advance to lie in an interval, say for some in this case, the maximum likelihood estimator changes and d...

BACKGROUND While representing only 3-4% of malignant skin tumors, cutaneous melanoma is the most aggressive and lethal. Statistical knowledge about the biological behavior of this tumor is essential for guiding daily outpatient practice and aiding public health policies. OBJECTIVES To analyze the profile of patients with cutaneous melanoma attending a pathology department in Teresina (state o...

In this paper we propose an estimator of the entropy of a continuous random variable. The estimator is obtained by modifying the estimator proposed by Vasicek (1976). Consistency of estimator is proved, and comparisons are made with Vasicek’s estimator (1976), van Es’s estimator (1992), Ebrahimi et al.’s estimator (1994) and Correa’s estimator (1995). The results indicate that the proposed esti...

Mortality rates have also signifi cantly risen over the last 25 years (Fig. 1.1), but at a much slower pace as tumours < 1 mm in Breslow thickness have a good prognosis. In contrast to incidence, mortality is greater in men, with male deaths outnumbering female deaths almost twofold. The rise in melanoma mortality has been greatest among men aged > 65 years, who present late with thick (> 4 mm ...

In this paper, we propose a new ridge-type estimator called the new mixed ridge estimator (NMRE) by unifying the sample and prior information in linear measurement error model with additional stochastic linear restrictions. The new estimator is a generalization of the mixed estimator (ME) and ridge estimator (RE). The performances of this new estimator and mixed ridge estimator (MRE) against th...

Competing risks refer to the situation where there are multiple causes of failure and occurrence one type event prohibits other types or alters chance observe them. In large cohort studies with long-term follow-up, often competing risks. When events rare, information on certain risk factors is difficult costly measure for full cohort, a case-cohort study design can be desirable approach. this p...

In this paper we discuss the analysis of multi-phase, or multi-stage, case-control studies and present an efficient semiparametric maximum-likelihood approach that unifies and extends earlier work, including the seminal case-control paper by Prentice & Pyke (1979) as well as work by Breslow & Cain (1988), Scott & Wild (1997), Breslow & Holubkov (1997), and others. The theoretical derivations ap...

this article examines statistical inference for  where and are independent but not identically distributed pareto of the first kind (pareto (i)) random variables with same scale parameter but different shape parameters. the maximum likelihood, uniformly minimum variance unbiased and bayes estimators with gamma prior are used for this purpose. simulation studies which compare the estimators are ...