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Analysis of Linear Regression Model at Divided System Matrix
(Wydawnictwo Uniwersytetu Łódzkiego, 2007)
In this study problems connected with the detection of influential observations
are investigated in the linear regression model using the least squares estimation of structural
parameters. This issue has been presented ...
Probability Prognosis of the States of Results during Volleyball Match Sets
(Wydawnictwo Uniwersytetu Łódzkiego, 2003)
One of characteristic features of a volleyball game is playing consecutive
sets and deciding the current score according to the results of particular sets. In this
way we can examine volleyball game in many stages, but ...
Matrix H and Its Applications in Economic and Tourist Research
(Wydawnictwo Uniwersytetu Łódzkiego, 2006)
The paper characterizes and gives some basic properties of matrix H that is the
operator of orthogonal projection on the space of columns of matrix X, which is the hat
matrix in linear regression model. The author ...
Probability Model of Ties in Multistage Decision Process
(Wydawnictwo Uniwersytetu Łódzkiego, 2004)
Probability model on multistage decision process is discussed with particular emphasis on special case using the rule R(4, 2). An idea of importance graph ties is presented. Possibility recording probability of success in ...
Estimation of parameters of Tömquist’s functions with Newton-Raphson’s method
(Wydawnictwo Uniwersytetu Łódzkiego, 2008)
In the work there has been discussed Newton-Raphson’s iterative method
of estimation of parameters of Tömquist’s functions of general class and there are derived
formulas of their partial derivatives of Ist and 2nd rank. ...
Distribution of linear combination the sample mean and the sample median
(Wydawnictwo Uniwersytetu Łódzkiego, 2008)
In the work there is examined the estimator of linear combination of
arithmetic mean and median from a random sample of a random variable in the symmetrical
distribution. The coefficients of combinations are determined ...
Bootstrap confidence regions based on the Mahalanobis depth measure of two-dimensional samples
(Wydawnictwo Uniwersytetu Łódzkiego, 2008)
Construction of confidence regions for multi-dimensional samples is
usually performed with a known stochastic distribution of a random vector in question.
However, for multidimensional studies of socio-economic phenomena, ...
Test of multivariate normality using shape measures of the distribution
(Wydawnictwo Uniwersytetu Łódzkiego, 2008)
Karl Pearson, in 1990, proposed two numerical characteristics of the
distribution of random variables i.e. asymmetry (skewness) and kurtosis (flatness). Their
sample approximations allow to describe partially the empirical ...
Numerical Aspects of Determining Measures and Contours in Depth for Data in R2
(Wydawnictwo Uniwersytetu Łódzkiego, 2002)
Measures and contours in depth are new statistical techniques applied in the analysis of observations. They are particularly applied in the visualisation of 2-dimentional samples in R2 space. The theory of measures and ...
Numerical Presentation of the Selected Statistical Notions Based on Tukey's Concept of Observation Depth in the Sample
(Wydawnictwo Uniwersytetu Łódzkiego, 2003)
The study provides presentation of selected statistical concepts based on data depth by Tukey. The concepts as: the rang of depth, the half-space convex, contour, simplicial depth breakdown points, position numerical ...