WE may often obtain the lower moments of a sampling distribution when the distribution itself
is intractable. Tchebycheff's celebrated inequalities for the cumulative distribution function …

THE purpose of this paper is to present a statistical approach to two types of problems con-,
fronted in biological research. The first is that of specifying an individual as a member of one …

A SEQUENCE of O's and l's is observed and it is suspected that the chance that a particular
trial is a 1 depends on the value of one or more independent variables. Tests and estimates …

We propose a method to specify an appropriate yet parsimonious vector autoregressive
moving average (ARMA) model for a given multivariate time series. By considering …

The paper deals with a number of problems of statistical analysis connected with events
occurring haphazardly in space or time. The topics discussed include: tests of randomness, …

After some preparatory work, the least square estimation equations are derived for a purely
nondeterministic stationary multiple process (Th. 6). The asymptotic covariances of the …

* The lower record values of a semi‐infinite time series derived by random simple sampling
from a fixed universe are defined to be those members which are less than all previous …

We use the method of weighted least squares to estimate the time‐dependent parameters
of non‐stationary time‐series models. Approximate expressions for the bias and variance of …

Suppose that data y 1 , ..., y n are observed according to the model , where f is a smooth
function and is a sample from a zero‐mean, covariance stationary time series. The problem of …

We develop an approach to the spectral analysis of non‐stationary processes which is
based on the concept of “evolutionary spectra”; that is, spectral functions which are time …