Mukhopadhyay, Parimal Schwabe, Rainer
Published in
Metrika

Starting from the one-dimensional results by Wang et al (1994) we consider the performance of the ordinary least squares estimator in comparison to the best linear unbiased estimator under an error component model with random effects in units and time. Upper bounds are derived for the first-order approximation to the difference between both estimat...

Dettweiler, E. Heyer, H. Sato, Hiroshi Duflo, M. Münnich, R. Grölz, W. Stenger, H. Luschgy, H. Jacob, N.
Published in
Metrika

Krummenauer, Frank
Published in
Metrika

According to the usual law of small numbers a multivariate Poisson distribution is derived by defining an appropriate model for multivariate Binomial distributions and examining their behaviour for large numbers of trials and small probabilities of marginal and simultaneous successes. The weak limit law is a generalization of Poisson's distribution...

Stoyan, D. Thompson, J. W. Sen, P. K. Stroock, D. W. Ananda, M. M. A. Potthoff, J.
Published in
Metrika

García, M. Rueda Cebrián, A. Arcos Rodríguez, E. Artés
Published in
Metrika

A new method to derive confidence intervals for quantiles in a finite populations is presented. This method uses multi-auxiliary information through a multi-variate ratio type estimator of the population distribution function.

Bhattacharya, Bhaskar
Published in
Metrika

For a (k×k) square contingency table with ordered categories, letX(Y) denote the row (column) number. The conditional symmetry model is given byP(X=i, Y=j|XY), ∀i

Ma, Chunsheng
Published in
Metrika

This paper discusses the relationships among some characteristic properties of the multivariate survival function based on the residual life distribution, and provides the conditions for their equivalence. In the meanwhile, the corrected version of Ma (1996, Theorem 1 (ii) and (iii)) is given.

López-Blázquez, Fernando Salamanca-Miño, Begoña
Published in
Metrika

We obtain an upper bound for a measure of the performance of the least squares predictor of the jth record of a sequence of continuous i.i.d random variables as a function of the ith record. We show also that such bound is attainable, except for location and scale parameters, by exponential distributions.

Albers, Willem Kallenberg, Wilbert C. M. Otten, Gertjan D.
Published in
Metrika

When screening a production process for nonconforming items the objective is to improve the average outgoing quality level. Due to measurement errors specification limits cannot be checked directly and hence test limits are required, which meet some given requirement, here given by a prescribed bound on the consumer loss. Classical test limits are ...

Singh, Sarjinder Joarder, Anwar H.
Published in
Metrika

In this paper, an estimator of finite population variance proposed by Isaki (1983) is studied under the two different situations of random non-response suggested by Tracy and Osahan (1994). A distribution is proposed for the number of sampling units on which information could not be obtained due to random non-response. The estimators for the mean s...