Box and Pierce (1970) proposed a test statistic TBP which is the squared sum of m sample autocorrelations of the estimated residual process of autoregressive-moving average model of order (p,q). TBP is called the classical portmanteau test. Under the null hypothesis that the autoregressive-moving average model of order (p,q) is adequate, they suggested that the distribution of TBP is approximat...

The aim of this paper is to relate and extend some recent work on chi-square goodness-of-fit tests. There is no discussion of any problems which are specifically associated with more than one categorical variable.. The main topics are the effect of estimation on chi-square and its partitions ~~d their relation to Neymants smooth goodness-of-fit test, and the effect of grotp:ing a univariate dis...

This work is about the Gompertz-Makeham distribution. The distribution has been applied plenty of times. The properties of the Gompertz-Makeham distribution investigated in this work are unimodality of the Gompertz-Makeham distribution and relationship between the median value and the mean residual life time of the Gompertz-Makeham distribution. For most of the realistic set of parameter values...

In the fall of 1999, two types of impact sprinklers were evaluated to determine the distribution of precipitation under normal operating conditions. The sprinkler types included a traditional round-patterned design (Rain Bird Maxi-Bird) and a recently developed sprinkler delivering water in a square pattern, called Square Shooter. The squarepatterned sprinkler was more precise in delivering a u...

The case of a Random Gaussian process for which the root,mean-square value is itself variable is considered. A distribution for the root-mean-square value is assumed and an expression is derived for the resulting distribution of peak values of the variable quantity. This'expression is shown tq give good agreement with experimental results in many cases of aircraft gust load statistics, and its ...