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Eine Verallgemeinerung des zentralen Grenzwertsatzes

Acta Mathematica Hungarica
Volume/Issue:
Volume 13: Issue 1-2
DOI:
https://doi.org/10.1007/bf02033626
Author:
B. Gyires
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On the matrix valued exponentially convex, totally positive functions and sequences

Acta Mathematica Hungarica
Volume/Issue:
Volume 62: Issue 3-4
DOI:
https://doi.org/10.1007/bf01874645
Author:
B. Gyires
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On determinantal and permanental inequalities

Acta Mathematica Hungarica
Volume/Issue:
Volume 66: Issue 3
DOI:
https://doi.org/10.1007/bf01874289
Author:
B. Gyires
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Doubly ordered linear rank statistics

Acta Mathematica Hungarica
Volume/Issue:
Volume 40: Issue 1-2
DOI:
https://doi.org/10.1007/bf01897303
Author:
B. Gyires
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Contribution to the Fourier analysis of matrix-valued functions

Acta Mathematica Hungarica
Volume/Issue:
Volume 39: Issue 1-3
DOI:
https://doi.org/10.1007/bf01895243
Author:
B. Gyires
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Characterization of the normal distribution by constant regression of quadratic statistics on linear statistics

Periodica Mathematica Hungarica
Volume/Issue:
Volume 9: Issue 1-2
DOI:
https://doi.org/10.1007/bf02018926
Author:
B. Gyires

This paper contains applications of theorems of [1] for quadratic statistics which have constant regression on linear statistics. Two theorems are proved. The first is a sufficient condition which assumes that the characteristic function of a sample is an entire function. The second gives a new characterization of the normal distribution.

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пОстОьННАь РЕгРЕссИ ь кВАДРАтИЧЕскОИ стА тИстИкИ ОтНОсИтЕльНО ВыБОРО ЧНОгО сРЕДНЕгО

Analysis Mathematica
Volume/Issue:
Volume 3: Issue 1
DOI:
https://doi.org/10.1007/bf02333252
Author:
B. Gyires

Abstract  

пОлУЧЕНО пРЕДстАВлЕ НИЕ хАРАктЕРИстИЧЕс кИх ФУНкцИИ Дль слУЧАь, кОгДА кВАД РАтИЧЕскАь стАтИстИкА ВыБОРкИ О БлАДАЕт пОстОьННОИ Р ЕгРЕссИЕИ ОтНОсИтЕльНО ВыБОРО ЧНОгО сРЕДНЕгО. НАшА тЕОРЕМА ДАЕт пРЕ ДстАВлЕНИЕ кВАДРАтИ ЧЕскИх стАтИстИк, кОтОРыЕ НЕ МОгУт ОБлАДАть пОстОьННОИ РЕгРЕссИ ЕИ.

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