On the extended binomial distribution

doi:10.1016/0305-0548(84)90012-1

Computers & Operations Research

Volume 11, Issue 3, 1984, Pages 241-243

https://doi.org/10.1016/0305-0548(84)90012-1 Get rights and content

Abstract

An Extended Binomial random variable tallies the number of successes in n dichotomous and independent experiments with unequal probability of success in each trial, however. The paper describes situations where an Extended Binomial distribution arises and suggests an algorithm for computing its values.

References (1)

E.L. Lehmann
Testing Statistical Hypothesis
(1959)

Cited by (2)

Experimental and numerical methodology to obtain the probability of detection in eddy current NDT method
2020, NDT and E International
The scope of this paper is to define a methodology for building robust PoD curves from numerical modelling. First, an experimental database will be created in a laboratory scenario. A representative sample of inspectors with different certification levels in NDT method will be employed. Multiple inspections will be carried out to include the human influence in the MAPOD calculation. In addition, this study will take into account the impact of using different devices in the High Frequency Eddy Current method (HFEC). Then, a simulation model is created taking into consideration the main uncertainties due to human and device factors. These uncertainties are identified and quantified by the observation of experimental NDT inspection. Then, statistical distributions of these uncertainties are derived and used as inputs of the simulation model. Finally, the simulation PoD model will be compared and validated with the experimental results developed in the laboratory scenario. This comparison provided encouraging results to replace or complete experimental tests by simulation.
Simultaneous prediction of plot-level and tree-level harvest occurrences with correlated random effects
2018, Forest Science

^†: Moshe F. Friedman is Professor in the Department of Management Science and Computer Information Systems at the University of Miami, Coral Gables, Florida. Dr. Friedman received his Ph.D. as well as all of his other degrees from the Hebrew University of Jerusalem. He published extensively in all major journals of Operations Research and Management Science and lectured widely in Israel, Europe and the U.S.A. His areas of interest are: Inventory Theory, Mathematical Programming, Stochastic Phenomena, Transportation Theory and Computer Applications. He is an Associate Editor of this Journal and currently engaged with NASA on an air traffic control project.

View full text

On the extended binomial distribution

Abstract

Testing Statistical Hypothesis