The F- Distribution with Applications to Number of Female Patients with Cancer

Abstract

The F-distribution is a particular parameterization of the beta prime distribution, which is also called the beta distribution of the second kind. This considered a new four-parameter generalized version of the Fisher Snedecor distribution called Beta- F distribution is introduced. The comprehensive account of the statistical properties of the new distributions was considered. Formal expressions for the cumulative density function, moments, and moment generating function and maximum likelihood estimation as well as its Fisher information were obtained.  This study employed a descriptive survey research design. The target population was female patients with cancer in Lagos State University teaching Hospital for complete for 36 days.  The data collected was analyzed using both descriptive statistics and presented in tables, charts and figures. Some well-known distributions were fit, some existing single distributions and the proposed F distribution to these data using the method of maximum likelihood was applied using Micro-Soft Excel 2007. The study established that the minimum AIC and minimum statistic on kolmogorov Smirnov of the F-distribution shows that female patients with cancer data better than the other life time distributions considered. The study concluded that Fisher-distribution is better off than existing single distribution with reference to Akaike Information Criterion (AIC) been used. It is instructive to note that the F-distribution preserves the originality of the data without transformation.