Consider the estimation of the category proportions in a
multinomial population from a sample which is "censored" in the
sense that under an appropriate, unknown permutation of the sample
categories, the population proportions are all known. We are considering
the estimation of an ordered set of sample proportions, known
except...
This thesis is concerned with the detailed derivation
of Sheppard's Correction Formula relating the true to the
raw moments by the use of Euler-MacLaurin formula. Special
moment relationships have been derived using different
special functions, whose application is made to derive correction
formula for the semi-invariants. Special investigation
is carried...
Consider the c- sample testing problem with null hypothesis H[subscript]o : F₁(x) = ... = F[subscript]c(x), where F[subscript]j(x), j = 1 ..., c, represent
absolutely continuous distribution functions for failure distributions.
Furthermore, consider arbitrarily (right) censored samples, which
may arise from putting the (censored) experimental units on test at
different...
Quantization is a non-linear operation of converting a continuous
signal into a discrete one, assuming a finite number of levels N. A
study is made of the quantization procedure, starting from the year
1898 to the present time. Conditions for minimum error are derived
with consideration of quantization in magnitude...
One answer to the problem of missing observations in two-way
classification experiments is to insert estimates of missing observations
into deficient cells. Once missing observations have been estimated,
the experimenter may proceed with his analysis using the
familiar normal equations which apply to complete data. This paper
discusses generally the...
This thesis is a study of the problem of calculating the least-squares estimates of the parameters in a linear regression model
when the parameter space is restricted to integer points within a
given polyhedron. General observations are made about estimation
of integer-valued parameters, and an integer-quadratic programming
algorithm is given...
This thesis gives a procedure for generalizing the concept of
conditional probability applied to the case of the bivariate probability
density function.
The conditional probability density function is desired where the two variables vary according to some prescribed path Φ which lies in the plane of the two variables. Instead...
Precipitation occurrence in three winter periods and three
summer periods is examined for two Oregon stations: Seaside and
Squaw Butte. The winter periods are January, February, and the
interval January 15 to February 20. The summer periods are July,
August, and the interval July 10 to August 15. The two...