Rainfall models – a study over Gangtok

In this paper, the Pearsonian system of curves were fitted to the monthly rainfalls from January to December, in addition to the seasonal as well as annual rainfalls totalling to 14 data sets of the period 1957-2005 with 49 years of duration for the station Gangtok to determine the probability distribution function of these data sets. The study indicated that the monthly rainfall of July and summer monsoon seasonal rainfall did not fit in to any of the Pearsonian system of curves, but the monthly rainfalls of other months and the annual rainfalls of Gangtok station indicated to fit into Pearsonian type-I distribution which in other words is an uniform distribution. Anderson-Darling test was applied to for null hypothesis. The test indicated the acceptance of null-hypothesis. The statistics of the data sets and their probability distributions are discussed in this paper.

An Evaluation of the Pearsonian Type I Curve of Fertility for Aboriginal Populations in Canada, 1996 to 2001

In 2005, Statistics Canada published new projections of the Aboriginal populations (North American Indians, Métis, and Inuit) in Canada, the provinces and territories from 2001 to 2017. To derive the number of births in these projections, the age-specific fertility rates were simulated by fitting the Pearsonian Type I curve using the projected fertility parameters: total fertility rates, mean ages of fertility, and modal ages of fertility. For the base period 1996 to 2001, the parameters were estimated from the age-specific fertility rates derived from the 2001 Census, using the “own-children method.” This paper evaluates the goodness of fit between the age-specific fertility rates developed by the Type I curve and the estimated age-specific fertility rates for Aboriginal identity groups for the period 1996 to 2001 for Canada and for high and low fertility regions. Tests of validity of the Type I curve indicate that this method is appropriate for estimating/projecting the number of births for the Aboriginal populations.

Some Characterizations of the Exponential and Related Life Distributions

Characterizations of the exponential, the Pearsonian Type XI and a finite range distributions have been obtained in terms of different constant coefficients of variation of residual life. These results have also been stated in terms of conditional expectations of suitably chosen functions of order statistics. A few earlier results have been generalised. Some related results in IMRL and DMRL. classes of distributions have been presented . Also characterizations involving the product of failure rate and mean residual life are aiven.