Solving the Lower Reliability Confidence Limit of Binomial Distribution by Using Numeric Iteration Method

Abstract:

By using numeric iteration method, the algorithm of solving the lower reliability confidence limit of binomial distribution is realized with Matlab programming techniques. A method to choose the initial value is proposed, and the initial value problem which the equation solving is sensitive to is solved. This algorithm can solve the Lower Reliability Confidence Limit of Success or Failure mechanical products of any quantity, any number of failures, at any confidence level at will. The precision of the result is higher than the look-up standard-given data, and by the method, data which cant be found in standards in projects can be supplemented.

• Periodical: Advanced Materials Research (Volume 842)
• Pages: 764-767
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.842.764
• Online since: November 2013
• Authors: Bo Wan*, Gui Cui Fu, Yi Bing Dong
• Keywords: Binomial Distribution, Initial Value, Lower Reliability Confidence Limit, Numerical Iteration

References

[1] Lin, C.T.: Microelectronics Reliability. Vol. 28 (1988), pp.487-493.

[2] Qinjin Yan: Numerical Analysis. (Beihang University Press, China. 2000).

[3] J. M. Ortega, W. C. Rheinblodit: Iterative Solution of Non-Linear Equations in Several Varialbles. (Academic Press, New York. 1970).

[4] Ozban, A. Y.: Applied Mathematics Letters. Vol. 17 (2004), pp.677-682.

[5] Achar, Sujatha D.: Applied Mathematics and Computation. Vol. 218 (2011), pp.2237-2248.