Quality Sampling and Reliability: New Uses for the Poisson Distribution, 1st Edition (Hardback) book cover

Quality Sampling and Reliability

New Uses for the Poisson Distribution, 1st Edition

By John J Heldt

CRC Press

176 pages

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Hardback: 9781574442410
pub: 1998-10-21
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As a mathematical model for determining the probable number of outcomes, the new Poisson Distribution tables have long been an easier tool to use for reliability analyses. Longtime quality professional, inventor, and consultant John J. Heldt now makes the Poisson Table even more useful-creating two new tables (available only in this book) with the Poisson terms rearranged for further ease of estimation.

Quality Sampling and Reliability: New Uses for the Poisson Distribution simplifies the steps involved with reliability testing; Mean Time Between Failure (MTBF) assessment; advantages and risks involved in reliability life testing; and an example of methodology for tracking the MTBF for products in the field.

In addition to the tried-and-true Standard Poisson table, used to review conventional Poisson uses, Heldt's two variations yield these results:

  • Estimations of product Mean Time Between Failures (MTBFs), based on life tests-including the 90%, 80% or 60% envelop for any MTBFs that have been derived

  • Development of the Operating Characteristic Curves for Life testing-showing the risks and advantages of any test used to assure the product MTBF is not varying in a detrimental manner

    Written for easy comprehension, with numerous illustrations, Quality Sampling and Reliability: New Uses for the Poisson Distribution will help quality professionals, engineers, instructors and students alike in their reliability testing tasks.

  • Reviews

    "…illustrations of this book enlightening and capable of providing quick solutions to immediate practical engineering problems as well as an improved understanding of statistical quality control. …makes reliability work much easier and can be used for quicker release of statistical information."

    -Hoang Pham, Department of Industrial Engineering, Rutgers University, Quality Sampling and Reliability

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    Table of Contents

    Using Conventional Poisson Table (PT-1)

    Individual Probabilities

    Poisson Histograms for Practical Applications

    Poisson Bootstrap Applications for Real Life

    Poisson Applications to Determine Statistical Curves

    Applications Using Pa Poisson Table

    Operating Characteristic Curves

    Average Outgoing Quality

    Acceptable Quality Level

    Lot Tolerance Percent Defective

    Sample Size Effect

    Acceptance Number Effect

    AQL=1% Plans

    LTPD=10% Plans


    Quick & Easy Poisson Applications

    AOQL Generator

    AOQL for n=200 Sample Plans

    Sample Plans for AOQL=2% Plans

    AOQL for Various Sample Plans

    AQL-LTPD-AOQL Approximator

    AQL and Alpha Risk-LTPD and Beta Risk Guidelines


    Double Sampling Using Pa Poisson


    OC and AOQ Curves for Double Sample Plan

    Double Sample Plan AOQL and AOQ Curve


    Average Sample Number for Double Sampling


    Applications Using CL Poisson Table (PT-3)

    Estimating the MTBF Using Poisson Table PT-3

    MTBF Confidence Limit Multipliers

    Confidence Limits for Time Tests

    Confidence Limits for Failure Test


    Applications Using CL Poisson Table (PT-2)

    Summary of OC Curves for Life Tests

    MTBF Tracking Based on Field Data

    Field Data MTBF Calculations

    MTBF Tracking, Fig. 59

    MTBF (CL=60%), Fig. 61

    90% Confidence Limits


    Appendix One: Cumulative Poisson Distribution: Poisson PT-1

    Appendix Two: Probability of Acceptance: Poisson PT-2

    Appendix Three: Confidence Level: Poisson PT-3

    Subject Categories

    BISAC Subject Codes/Headings:
    BUSINESS & ECONOMICS / Quality Control