Now showing items 1-10 of 10

• #### A pseudo restricted maximum likelihood estimator under multivariate simple tree order restriction and an algorithm ﻿

(Wichita State University, 2021-07)
The minimum distance projection of a given matrix $X \in R^{pxq}$ onto the order restricted cone in an appropriately defined inner product system, $\pi(X|C_{pxq}),$ plays an important role in order restricted statistical ...
• #### A computing method for multivariate isotonic regression ﻿

(Wichita State University, 2010-12)
• #### Coverage probability of tolerance levels ﻿

(Wichita State University, 2018-12)
In this thesis the ideas of the tolerance limit and coverage probabilities are explored in the context of the A-basis and B-basis for composite materials. The breaking strength of composite materials are random variables ...
• #### Equivalence testing for mean vectors of multivariate normal populations ﻿

(Wichita State University, 2010-05)
This dissertation examines the problem of comparing samples of multivariate normal data from two populations and concluding whether the populations are equivalent; equivalence is defined as the distance between the mean ...
• #### Isotonic regression through the Merge and Chop Algorithm for application in statistical inference ﻿

(Wichita State University, 2016-05)
In this paper, the theory for the application of the Merge and Chop Algorithm are defined and proven. The algorithm is used to find isotonic regressions in more situations than comparable methods. A program is included ...
• #### Multivariate isotonic regression and its algorithms ﻿

(Wichita State University, 2009-05)
We use regression functions, which are the means of random variables, to interpret statistical inference. Often an order is imposed on the values of the regression function. Thus, we refer to the regression as an order ...
• #### Order restricted A-basis and B-basis values ﻿

(Wichita State University, 2012-05)
In this thesis, the concept of A-basis and B-basis as it relates to the aviation industry is studied. The rst assumption that will be made in order to help with the formulation of the A-basis and B-basis values is that ...
• #### Stochastic monotonicity of a distribution family associated with matrix projections and its applications ﻿

(Wichita State University, 2019-12)
This dissertation defines a distribution family based on the distribution of a random variable associated with the projections of a normally distributed random matrix with un- known mean onto a linear space and onto a ...
• #### Testing homogeneity of a parameter matrix some of the rows of which are under synchronized order restrictions ﻿

(Wichita State University, 2011-12)
This research considers a multiple multivariate linear regression model with a parameter matrix some of the rows of which are constrained by synchronized order restrictions. The test on the homogeneity of the parameter ...
• #### Unbiasedness of homogeneity test of normal mean vectors under multivariate order restrictions ﻿

(Wichita State University, 2017-05)
This dissertation considers homogeneity test for comparing multivariate normal populations with generalized order restricted alternative hypothesis. The framework in this dissertation presents a generalized multivariate ...