Jñānābha‎, Vol. 50 (2) (2020), (190-199)

ON BURR (4P) DISTRIBUTION: APPLICATION OF BREAKING STRESS DATA

 

By

M. Shakil 1, B. M. Golam Kibria 2, J. N. Singh 3 and M. Ahsanullah 4

1Miami Dade College, Hialeah, FL, USA

2Florida International University, Miami, FL, USA

3Barry University, Miami, FL, USA

4Rider University, Miami, NJ, USA

Email: mshakil@mdc.edu, kibriag@fiu.edu, jsingh@barry.edu, ahsan@rider.edu

(Received : July 02, 2020 ; Revised: September 17, 2020)

 

 

 In many problems of quality and reliability engineering processes and designs, fitting of a probability distribution to the tensile strength or breaking stress data may be helpful in predicting the probability or forecasting the frequency of occurrence of the breaking stress, and planning beforehand. In this paper, Burr (4P) distribution functions was fitted to such breaking stress data, and compared with Burr (3P), Dagum (3P) and Dagum (4P) distribution functions. Goodness of fit has been tested using the Kolmogorov-Smirnov, Anderson-Darling and Chi-Squared distribution tests. It is observed that the Burr (4P) distribution fits the best among these four distributions.

 

2010 Mathematics Subject Classifications: 62N02, 62N03, 62-07, 62C12, 62F03.

Keywords and phrases: Goodness of fit, Breaking stress of 6061-T6 aluminum, Probability distribution, Statistical analysis.