Journal ArticleDOI
Tables for Maximum Likelihood Estimates: Singly Truncated and Singly Censored Samples
TLDR
In this article, the maximum likelihood estimates of the mean and variance for simply truncated or simply censored samples drawn from a Normal distribution were derived, and a further worked example was provided.Abstract:
In a previous paper in Technometrics, Vol. 1, 1959, the author derived the maximum liklihood estimates of the mean and variance for simply truncated or simply censored samples drawn from a Normal distribution. This paper extends considerably the tables originally published, and contains a further worked example.read more
Citations
More filters
Journal ArticleDOI
Estimation of Average Concentration in the Presence of Nondetectable Values
TL;DR: In this article, the average concentration of a particular contaminant during some period of time, a certain proportion of the collected samples is often reported to be below the limit of detection.
Book ChapterDOI
Species Abundance Patterns and Community Structure
TL;DR: A review of the conceptual and methodological frameworks of analysis in species abundance patterns, with particular emphasis on interpreting patterns in the context of community structure and organization, to achieve a better understanding of ecological communities.
Journal ArticleDOI
Estimation of parameters for a mixture of normal distributions
TL;DR: In this article, the maximum likelihood estimates for a single truncated normal population as derived by Hald were used, and an approximation to the likelihood function of the entire sample was used to maximize this yield two iteration formulas.
Book
Statistics for Censored Environmental Data Using Minitab and R
TL;DR: Statistics for Censored Environmental Data Using Minitab and R, Second Edition is an excellent book for courses on environmental statistics at the upper-undergraduate and graduate levels and serves as a valuable reference for?environmental professionals, biologists, and ecologists who focus on the water sciences, air quality, and soil science.
Journal ArticleDOI
Progressively Censored Samples in Life Testing
TL;DR: In this paper, maximum likelihood estimators of the distribution parameters are derived for the normal, and for the exponential distribution when samples are progressively censored, where the sample specimens remaining after each stage are continued under observation until failure or until a subsequent stage of censoring.
References
More filters
Journal ArticleDOI
Simplified Estimators for the Normal Distribution When Samples Are Singly Censored or Truncated
TL;DR: In this paper, the mean and variance of a Normal distribution obtained from samples which are truncated or censored are described, and the estimates require only a single auxiliary function which is conveniently tabulated.
Journal ArticleDOI
Estimation of the mean and standard deviation of a normal population from a censored sample
Journal ArticleDOI
The calculation of the time‐mortality curve
C. I. Bliss,W. L. Stevens +1 more
TL;DR: By means of the truncated time-mortality curve the toxicological value of studies on the reaction time can be extended considerably and the effect of grouping upon these calculations is discussed with particular reference to developing an efficient experimental design.
Journal ArticleDOI
Maximum Likelihood Estimation of the Parameters of a Normal Distribution which is Truncated at a Known Point
TL;DR: In the first case, the observations form a random sample drawn from an incomplete normal distribution, but in the second case we sample from a complete normal distribution in which the obtainable information in a sense has been censored, either by nature or by ourselves.
Journal ArticleDOI
Tables of Pearson-Lee-Fisher Functions of Singly Truncated Normal Distributions
A. C. Cohen,John Woodward +1 more
TL;DR: In this article, the Pearson-Lee-Fisher estimator is used to compute the frequency function of a truncated normal distribution, where the point of truncation is assumed known and measurements are possible only for x' > xS.