Approximate Confidence Limits of the Lognormal Mean from Left-Censored Samples

Confidence limits for lognormal percentiles and for lognormal mean based on samples with multiple detection limits.

The problem of assessing occupational exposure using the mean or an upper percentile of a lognormal distribution is addressed. Inferential methods for constructing an upper confidence limit for an upper percentile of a lognormal distribution and for finding confidence intervals for a lognormal mean based on samples with multiple detection limits are proposed. The proposed methods are based on t...

Analysis of Hybrid Censored Data from the Lognormal Distribution

The mixture of Type I and Type II censoring schemes, called the hybrid censoring. This article presents the statistical inferences on lognormal parameters when the data are hybrid censored. We obtain the maximum likelihood estimators (MLEs) and the approximate maximum likelihood estimators (AMLEs) of the unknown parameters. Asymptotic distributions of the maximum likelihood estimators are used ...

Fixed-width Confidence Interval for a Lognormal Mean

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...

Inference for the Lognormal Mean and Quantiles Based on Samples With Left and Right Type I Censoring

Interval estimation of the mean and quantiles of a lognormal distribution is addressed based on a type I singly censored sample. A special case of interest is that of a sample containing values below a single detection limit. Generalized inferential procedures which utilize MLE based approximate pivotal quantities, and some likelihood based methods, are proposed. The latter include methodology ...