# A Statistical Method for Designing and analyzing tolerances of Unidentified Distributions

Author Affiliations

^{1}Department of Management, Firoozkooh Branch, Islamic Azad University, Firoozkooh, IRAN

*Res. J. Recent Sci.,* **Volume 2, Issue (11),** Pages 55-64, November,2 **(2013)**

## Abstract

The mechanical tolerances are set to restrict too large dimensional and geometrical variation in a product. Tolerances have to be set in such a manner that functionality, manufacturability, costs and interchangeability are optimized and balanced between each other. The tolerances and available tolerance design techniques are represented in this text. Statistical tolerance design is emphasized because statistical behavior describes the nature of the manufacturing processes more realistically than worst-case methods. To this end, the Generalized Lambda Distribution (GLD) has been used for design of tolerance. This distribution is highly flexible and based on the available data, can identify and present the related probability distribution function and their statistics. After recognizing the underlying probability distribution function, the results can be employed for the design of tolerance.

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