Počet záznamů: 1

A New Statistical Tool: Scalar Score Function

  1. 1.
    0358510 - UIVT-O 2012 RIV US eng J - Článek v odborném periodiku
    Fabián, Zdeněk
    A New Statistical Tool: Scalar Score Function.
    Computer Technology and Application. Roč. 2, - (2011), s. 109-116 ISSN 1934-7332
    Grant CEP: GA ČR GA205/09/1079
    Výzkumný záměr: CEZ:AV0Z10300504
    Klíčová slova: statistics * inference function * data characteristics * point estimates * heavy tails
    Kód oboru RIV: BB - Aplikovaná statistika, operační výzkum

    The basic inference function of mathematical statistics, the score function, is a vector function. The author has introduced the scalar score, a scalar inference function, which reflects main features of a continuous probability distribution and which is simple. Its simplicity makes it possible to introduce new relevant numerical characteristics of continuous distributions. The t-mean and score variance are descriptions of distributions without the drawbacks of the mean and variance, which may not exist even in cases of regular distributions. Their sample counterparts appear to be alternative descriptions of the observed data. The scalar score itself appears to be a new mathematical tool, which could be used in solving traditional statistical problems for models far from the normal one, skewed and heavy-tailed.
    Trvalý link: http://hdl.handle.net/11104/0196532