**Optimal Formula about Ordering the Random Variables Problem**

**Author: **Ivan S. Latif^{1}

^{1}Department of Mathematics, College of Education, Salahaddin University, Erbil, Iraq

**Abstract: **In this paper, we propose an algorithm about ordering the random variables into order statistics and find the simple formula of multi order statistics joint probability distribution and endeavor to prove it mathematically. The basic idea is to use the mathematical induction to find the joint probability order statistic distribution. The study found that the new method can be employed in Mathematics.

**Keywords: **Random Variable, Oriented Algorithms, Order Statistics

Download the PDF Document **from here**.

**doi**: 10.23918/eajse.v4i2p10

**References**

Balakrishnan, N., & Nevsorov,V. B. (2006). *A primer on statistical distributions*. New Jersey: Wiley.

Barry, C. A., Balakrishnan, N., & Nagaraja, H. N. (2008). *A first course in order statistics*. Philadelphia: Society for Industrial and Applied Mathematics.

David, H. A., & Nagaraja, H. A. (2003). *Order statistics*. 3-rd Edition. New Jersey: Wiley.

Goldstein, L. J., David, I. S., & Martha, S. (2001). *Finite mathematics and applications* (7th Edition). Prentice-Hall.

Hogg, R., & Graig, A. (1978). *Introduction to mathematical Statistics*. New York: Collier Macmillan 4th Edition.

Larson, R. J., & Marx, L. M. (2012). *An introduction to mathematical statistics and applications*. 5th Edition, New York: Prentice Hall.

Lindgren, B. W. (1976). *Statistical theory*. 3rd Edition. New York: Macmillan.

Miller, I., & Freund, J. E. (1965). *Probability and statistics for engineers*. New Jersey: Prentice-Hall, Englewood Cliffs.

Mood, A, M., Graybill, F. A., & Boes, D. C. (1974). *Introduction to the theory of statistics*. 3rd Edition. New York: Mc Graw-Hill.

Wani, J. (1971). *Probability & statistical inference*. USA: Meredith Corporation.