Cross-classified sampling: Some estimation theory

Some statistical estimation problems in ruin theory

Much research in ruin theory in insurance mathematics focuses on the behaviour of various quantities of interest, such as the probability of ruin or the ruin-time moments, for a particular risk model in insurance. In practice, precise knowledge of the risk model is available only via observed data. In this presentation, the problem of statistical estimation of the quantities of interest, given ...

Some Improvment in the Estimation of Population Mean in Cluster Sampling

Gupta and Shabbir (2008) have suggested an alternative form of ratio-type estimator for estimating the population mean. In this paper, we introduced new estimators by mixing two, stratified and cluster sampling method. Then we improved these estimators by using auxiliary variables and introducing new estimators. For sampling in infinite populations with a high geographic dispersion, the populat...

Some aspects of fusion in estimation theory

In this correspondence we consider the problem of fusion in estimation theory. Our primary concern is directed toward finding a method of fusing or combining a finite number of estimates of a fixed second order random variable X in order to achieve a single "best" estimate of X: Our concern throughout this paper is directed toward minimizing the mean-square error (mse). In this context, for an ...

Some Improvements in Kernel Estimation Using Line Transect Sampling

Estimation Sampling Sampling Estimation Sampling Test Statistic Test Statistic

In this paper, we introduce a Goodness-of-Fit test for the Multivariate Exponential Power (MEP) distribution, a multivariate extension of the Generalized Gaussian, which has recently gained considerable interest as a model for wavelet coefficients in the context of color image retrieval and spread-spectrum watermarking. We present a size and power study of this test and show Goodness-of-Fit res...