Abstract
Geometric and exponential distributions may be used for modeling number of tubers and yield of crop. Geometric distribution is discrete version of appropriate exponential distribution and both the distributions have memoryless property. We model a real dataset on number of potato tubers arising from a growth experiment conducted in Giridih farmland and study the properties of these and related distributions in terms of performance rate (Dasgupta 2018) and hazard rate. Some characterization theorems are proved for discrete and continuous random variables.
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