Probability bounds analysis (PBA) provides analysts a convenient means to characterize the neighborhood of possible results that would be obtained from plausible alternative inputs in probabilistic calculations. We show the relationship between PBA and the methods of interval analysis and probabilistic uncertainty analysis from which it is jointly derived, and indicate how the method can be use...

One of the most important problems in time series analysis of stream flow and rainfall data in an area is selecting the best probability distribution. Since the rainfall stations are associated and correlated with each other, so statistical analysis of the station data seamlessly are very important. Therefore, the first step in data analysis, is selecting the prevailing probability distribution...

During the last two decades, new models were developed in actuarial sciences. Different notions of insurance company ruin (bankruptcy) and other objective functions evaluating performance introduced. Several types decision (such as dividend payment, reinsurance, investment) are used for optimization functioning. Therefore, it is necessary to ensure that model under consideration stable with res...