DiscussionAnnals of the Institute of Statistical Mathematics - Tập 43 - Trang 21-45 - 1991
Change point estimation in non-monotonic aging modelsAnnals of the Institute of Statistical Mathematics - Tập 47 - Trang 483-491 - 1995
Murari Mitra, Sujit K. Basu
The problem of estimating change points in various non-monotonic aging models is considered. A general methodology for consistent estimation of the change point is developed and applied to non-monotonic aging models based on the hazard rate function as well as on the mean residual life function.
Density Estimation with Replicate Heteroscedastic MeasurementsAnnals of the Institute of Statistical Mathematics - Tập 63 - Trang 81-99 - 2009
Julie McIntyre, Leonard A. Stefanski
We present a deconvolution estimator for the density function of a random variable from a set of independent replicate measurements. We assume that measurements are made with normally distributed errors having unknown and possibly heterogeneous variances. The estimator generalizes well-known deconvoluting kernel density estimators, with error variances estimated from the replicate observations. We...... hiện toàn bộ
On Some Tests of the Covariance Matrix Under General ConditionsAnnals of the Institute of Statistical Mathematics - Tập 58 - Trang 101-114 - 2006
Arjun K. Gupta, Jin Xu
We consider the problem of testing the hypothesis about the covariance matrix of random vectors under the assumptions that the underlying distributions are nonnormal and the sample size is moderate. The asymptotic expansions of the null distributions are obtained up to n
−1/2. It is found that in most cases the null statistics are distributed as a mixture of independent chi...... hiện toàn bộ