Question: Karl Pearson one of the founders of modern statistics showed

Karl Pearson, one of the founders of modern statistics, showed that the differential equation
Yields (for appropriate values of the constants a, b, c, and d) most of the important distributions of statistics. Verify that the differential equation gives
(a) The gamma distribution when a = c = 0, b > 0, and d > – b;
(b) The exponential distribution when a = c = d = 0 and b > 0;
(c) The beta distribution when a = 0, b = – c, d– 1 / b < 1, and db > – 1.

View Solution:


Sale on SolutionInn
Sales0
Views55
Comments
  • CreatedNovember 04, 2015
  • Files Included
Post your question
5000