Combining Independent Tests of Conditional Shifted Exponential Distribution

Some New Characterization Results on Exponential and Related Distributions

Invariant Empirical Bayes Confidence Interval for Mean Vector of Normal Distribution and its Generalization for Exponential Family

Based on a given Bayesian model of multivariate normal with  known variance matrix we will find an empirical Bayes confidence interval for the mean vector components which have normal distribution. We will find this empirical Bayes confidence interval as a conditional form on ancillary statistic. In both cases (i.e.  conditional and unconditional empirical Bayes confidence interval), the empiri...

Prediction of Times to Failure of Censored Units in Hybrid Censored Samples from Exponential Distribution

In this paper, we discuss different predictors of times to failure of units censored in a hybrid censored sample from exponential distribution. Bayesian and non-Bayesian point predictors for the times to failure of units are obtained. Non-Bayesian prediction Intervals are obtained based on pivotal and highest conditional density methods. Bayesian prediction intervals are also proposed. One real...

ar X iv : m at h / 06 01 34 4 v 5 [ m at h . PR ] 6 S ep 2 00 8 ORDER STATISTICS AND BENFORD ’ S LAW STEVEN

Fix a base B > 1 and let ζ have the standard exponential distribution; the distribution of digits of ζ base B is known to be very close to Benford’s Law. If there exists a C such that the distribution of digits of C times the elements of some set is the same as that of ζ, we say that set exhibits shifted exponential behavior base B (with a shift of logB C mod 1). Let X1, . . . ,XN be independen...

ar X iv : m at h / 06 01 34 4 v 4 [ m at h . PR ] 2 8 M ay 2 00 8 ORDER STATISTICS AND BENFORD ’ S LAW

Fix a base B and let ζ have the standard exponential distribution; the distribution of digits of ζ base B is known to be very close to Benford’s Law. If there exists a C such that the distribution of digits of C times the elements of the system is the same as that of ζ, we say the system exhibits shifted exponential behavior base B (with a shift of logB C mod 1). Let X1, . . . ,XN be independen...