In [1] we uniquely introduced ultra exponential functions (uxpa) and denednext step of the serial binary operations: addition, multiplication and power.Also, we exhibited the topic of limit summability of real functions in [2,3]. Inthis paper, we study limit summability of the ultra exponential functions andprove some of their properties. Finally, we pose an unsolved problem aboutthem.

In this paper, we establish some recurrence relations for single and product moments of generalized order statistics from pth order exponential distribution. Further the results are deduced for the recurrence relations of record values and ordinary order statistics and using a recurrence relation for single moments we obtain characterization of pth order exponential distribution.

in this paper, an extension of record models, well known as k-records, is considered. bayesian estimation as well as prediction based on k-records are presented when the underlying distribution is assumed to have a general form. the proposed procedure is applied to the exponential, weibull and pareto models in one parameter case. also, the two-parameter exponential distribution, when both param...