Department of Civil Engineering, Tufts University, Medford, Massachusetts Filliben (1975) and Looney and Gulledge (1985) developed powerful tests of nonnality which are conceptually simple and computationally convenient and may be readily extended to testing nonnonnal distributional hypotheses. The probability plot correlation coefficient test consists of two widely used tools in water resource...

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...

Although a vast amount of literature exists on the selection of an appropriate probubility distribution for annual maximum fluodflows, few studies huve examined which probability distributions ure most suitable to fit to sequences of annual minimum streamflow!;. Probabilily plots have been u!;ed widely in hydrology as a gruphicul uid to assess the goodnes!; of fu of ultemative distributions. Re...

Abstract This paper discusses how lognormal, Gumbel and log-Pearson type 3 distributions were eliminated as candidates for modelling at-site annual maximum discharge series in Bangladesh. Among candidate distributions, the generalized extreme value distribution best represented the statistical characteristics of observed data. Comparisons of distributions were based upon the root mean square de...

In a bivariate data plot, every two points determine an “elementary slope.” For n points with distinct x-values, there are n(n – 1)/2 elementary slopes. These elementary slopes are examined under the two classical regression assumptions: (1) the regressor variable values are fixed and the error is independent and normal, and (2) the data is bivariate normal. For case (1), it is demonstrated tha...

In a homogeneous jury, in which each vote is correct with the same probability, and each pair of votes correlates with the same correlation coefficient, there exists a correlation-robust voting quota, such that the probability of a correct verdict is independent of the correlation coefficient. For positive correlation, an increase in the correlation coefficient decreases the probability of a co...

Statisticians routinely plot ordered observations against expected values to validate a model using a random sample. In fact, it is possible to construct a probability plot for a random sample from any continuous distribution function, and this is accommodated by the probability integral transform which facilitates a uniform probability plot of the ordered transformed observations against their...