Shkol'nyj O. Complex-valued random variables of Jessen-Wintner type

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0401U000178

Thesis Registration Form

0401U000178.pdf

Applicant for

Specialization

  • 01.01.05 - Теорія ймовірностей і математична статистика

26-12-2000

Specialized Academic Board

Д.26.206.02

Essay

The thesis is dedicated to investigation of complex-valued random variables, that is to say c-v.r.v., which being converging serieses of discrete c-v.r.v. with probability 1. We prove the theorem about purity of distribution such c-v.r.v. We also regard random vectors, defined by systems of dividing partitions on a plane, prove purity of distributions of such random vectors, and also completely detailed this theorem (found criteria of discretness, absolutely continuity and singularity). The method of investigation of c-v.r.v. of Jessen-Wintner type with the help above mentioned random vectors is offered. The essence of this method is demonstrated in researching of c-v.r.v. with independent complex t-adic digits. Are studied metric, topologic and fractal properties of spectra mentioned c-v.r.v. and random vectors.

Read more

Files

image001.tif

image002.tif

image003.tif

image004.tif

image005.tif

image006.tif

image007.tif

image008.tif

image009.tif

image010.tif

image011.tif

image012.tif

image013.tif

image014.tif

image015.tif

image016.tif

image017.tif

image018.tif

image019.tif

image020.tif

image021.tif

image022.tif

image023.tif

image024.tif

image025.tif

image026.tif

image027.tif

image028.tif

image029.tif

image030.tif

image031.tif

image032.tif

image033.tif

image034.tif

image035.tif

image036.tif

image037.tif

image038.tif

image039.tif

image040.tif

image041.tif

image042.tif

image043.tif

image044.tif

image045.tif

image046.tif

image047.tif

image048.tif

image049.tif

image050.tif

image051.tif

image052.tif

image053.tif

image054.tif

image055.tif

image056.tif

image057.tif

image058.tif

image059.tif

image060.tif

image061.tif

image062.tif

image063.tif

image064.tif

image065.tif

image066.tif

image067.tif

image068.tif

image069.tif

image070.tif

image071.tif

image072.tif

image073.tif

image074.tif

image075.tif

image076.tif

image077.tif

image078.tif

image079.tif

image080.tif

image081.tif

image082.tif

image083.tif

image084.tif

image085.tif

image086.tif

image087.tif

image088.tif

image089.tif

image090.tif

image091.tif

image092.tif

image093.tif

image094.tif

image095.tif

image096.tif

image097.tif

image098.tif

image099.tif

image100.tif

image101.tif

image102.tif

image103.tif

image104.tif

image105.tif

image106.tif

image107.tif

image108.tif

image109.tif

image110.tif

image111.tif

image112.tif

image113.tif

image114.tif

image115.tif

Similar theses

0524U000059

Vitalii V. Holomozyi

Ergodicity and stability of almost homogeneous Markov chains

0521U101910

Shklyar Serhiy V.

Measurement error models and their application in radioepidemiology

0421U101330

Petranova Maryna Yu.

Random Gaussian processes with stable correlation functions

0421U100920

Senko Ivan O.

Asymptotic properties of adjusted least squares estimator in vector linear model with errors-in-variables

0421U100942

Vovchanskyi Volodymyr Ya.

Coalescing stochastic flows and point processes