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Publications Influence

Introduction to Probability and Mathematical Statistics

- L. Bain, M. Engelhardt
- Mathematics
- 31 March 1987

Probability Random Variables and Their Distributions Special Probability Distributions Joint Distributions Properties of Random Variables Functions of Random Variables Limiting Distributions… Expand

362 31- PDF

The Lognormal Distribution in Environmental Applications

- A. Singh, A. Singh, M. Engelhardt
- Physics
- 1997

A paper feed regulator assembly which includes a microswitch having as a portion thereof, an overriding spring plate. A bar is provided to act as a cantilever support in mounting the microswitch on a… Expand

74 10- PDF

Tolerance Limits and Confidence Limits on Reliability for the Two-Parameter Exponential Distribution

- M. Engelhardt, L. Bain
- Mathematics
- 1 February 1978

Tolerance limits and confidence limits on reliability, which closely approximate exact limits. are proposed for the two-parameter exponential distribution. These approximations have the advantage… Expand

57 8

Interval Estimation for the Two-parameter Double Exponential Distribution

- L. Bain, M. Engelhardt
- Mathematics
- 1 November 1973

Confidence intervals based on the maximum likelihood estimators are given for the location and scale parameters of the Double Exponential distribution. These intervals are obtained by determining the… Expand

67 7

Inferences on the Parameters of the Birnbaum-Saunders Fatigue Life Distribution Based on Maximum Likelihood Estimation

- M. Engelhardt, L. Bain, F. T. Wright
- Mathematics
- 1 August 1981

This paper provides tests of hypotheses and confidence intervals for the scale and shape parameters singly of the Birnbaum-Saunders fatigue life model, each with the other an unknown nuisance… Expand

112 6

Simple Approximate Distributional Results for Confidence and Tolerance limits for the Weibull Distribution Based on Maximum likelihood Estimators

- L. Bain, M. Engelhardt
- Mathematics
- 1 February 1981

One form of the generalized gamma distribution brings out an association between the normal distribution and the extreme-value distribution. This relationship suggests chi-squared, Student's t and… Expand

49 6

Tests for an Increasing Trend in the Intensity of a Poisson Process: A Power Study

- L. Bain, M. Engelhardt, F. Wright
- Mathematics
- 1 June 1985

Abstract This article concerns a comparison of several tests for testing the hypothesis of a constant intensity against the alternative of an increasing intensity function in a nonhomogeneous Poisson… Expand

70 5

On Prediction Limits for Samples From a Weibull or Extreme-Value Distribution

- M. Engelhardt, L. Bain
- Mathematics
- 1 May 1982

A new, simplified approximation for lower prediction limits is derived for the smallest of a set of future observations from a Weibull or extreme-value distribution. The proposed limit can be… Expand

28 4

Some Complete and Censored Sampling Results for the Weibull or Extreme-Value Distribution

- M. Engelhardt, L. Bain
- Mathematics
- 1 August 1973

A simple, unbiased estimator, based on a censored sample, has been proposed by Rain [1] for the scale parameter of the Extreme-value distribution. This estimator was shown to have high efficiency and… Expand

62 3

Inferences on the Parameters and Current System Reliability for a Time Truncated Weibull Process

- L. Bain, M. Engelhardt
- Mathematics
- 1 August 1980

Conditional inference procedures are discussed for the shape parameter and for the current system reliability for a time truncated Weibull process. These tests are shown to be uniformly most powerful… Expand

87 3