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| On The Generalization of Arithmetic Distribution and Its Properties As Applied To Estimations in Plant Breeding |
M. O. Olatinwo(Ph.D.), M. Animashahun(M.Tech.), K. E. Ayotokun
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Abstract:
Literatures on distributions and plant breeding were examined. We introduce Arithmetic Distribution that establishes the estimator of combine effect of desirable traits in the breeding hybridization mechanism in plant. The estimator (the expectation of arithmetic distribution) shall estimate the relative acceptability that breeder(s) is/are intending to achieve by combining the desirable traits in a specified species of crop and measure the acceptance ratio of crop with a desirable trait to the one which combines about two or more desirable traits.
The discrepancies in acceptability in the selected species of crop can be estimated using either the variance or standard deviation of Arithmetic Distribution.
In view of the above, an Arithmetic Distribution is presented by (1) and some of its characteristics are shown by equations (3) and (4).
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