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HILL-SHAPED DISTRIBUTIONS FOR STATISTICAL APPLICATIONS

IP.com Disclosure Number: IPCOM000009068D
Original Publication Date: 1999-Jun-01
Included in the Prior Art Database: 2002-Aug-06
Document File: 3 page(s) / 135K

Motorola

Related People

J. Albert Chiou: AUTHOR

Abstract

To create a probability density function (PDF) and methodology to improve the normal distribution and Weibull distribution for statistical applications.

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MOTOROLA Technical Developments

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HILL-SHAPED DISTRIBUTIONS FOR STATISTICAL APPLICATIONS

by J. Albert Chiou

PURPOSE

To create a probability density function (PDF) and methodology to improve the normal distribution and Weibull distribution for statistical applications.

BACKGROUND

The normal distribution or Weibull distribution are used widely for various statistical applications in the industry but they can be improved due to an unrealistic infinite distribution. The normal distrib- ution has a negative infinite random variable and a positive i&mite random variable. The Weibull dis- tribution has a positive infinite random variable. In the real world, the random variable usually has cer- tam limits. Just to name a few examples, the yield strength of G10350 steel at 50 Ksi mean level can not be lower than 0 Ksi or higher than a certain strength level, 500 Ksi or 1000 Ksi for an example The resistivity of copper with a mean value of
1.673e-8 ohm-m at room temperature can not be lower than 0 ohm-m or higher than a certain resistivity number, 0.001 ohm-m for an example.