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Quality Sampling and Reliability
New Uses for the Poisson Distribution




ISBN 9781574442410
Published October 21, 1998 by CRC Press
176 Pages

 
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Book Description

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.
  • 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
    Summary
    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
    Summary
    Double Sampling Using Pa Poisson
    Applications
    OC and AOQ Curves for Double Sample Plan
    Double Sample Plan AOQL and AOQ Curve
    Review
    Average Sample Number for Double Sampling
    Summary
    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
    Summary
    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
    Summary
    Appendix One: Cumulative Poisson Distribution: Poisson PT-1
    Appendix Two: Probability of Acceptance: Poisson PT-2
    Appendix Three: Confidence Level: Poisson PT-3

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    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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