2023
Methods of Estimating Parameters of Skewed or Truncated Normal Distribution in the Presence of Observations Outside of Measurable Range
JANOŠOVÁ, Markéta a Stanislav KATINAZákladní údaje
Originální název
Methods of Estimating Parameters of Skewed or Truncated Normal Distribution in the Presence of Observations Outside of Measurable Range
Autoři
JANOŠOVÁ, Markéta a Stanislav KATINA
Vydání
Olomoucian Days of Applied Mathematics 2023, 2023
Další údaje
Jazyk
angličtina
Typ výsledku
Konferenční abstrakt
Obor
10103 Statistics and probability
Stát vydavatele
Česká republika
Utajení
není předmětem státního či obchodního tajemství
Označené pro přenos do RIV
Ne
Organizační jednotka
Přírodovědecká fakulta
Klíčová slova anglicky
measurable range; parameter estimation; limit of detection
Příznaky
Mezinárodní význam
Změněno: 21. 6. 2023 12:13, Mgr. Markéta Janošová, Ph.D.
Anotace
V originále
Every laboratory equipment has limits to what it can accurately measure. Generally, for every laboratory apparatus three types of limits should be defined – limit of blank (LoB), limit of detection (LoD) and limit of quantitation (LoQ). If an observation falls outside of the measurable range, there is an issue of estimating parameters of the distribution. In this contribution we look at four different methods applied to samples generated from skewed and truncated normal distributions – ignoring censored observations, replacing censored observations, using a truncated version of target distribution, and using target distribution with censored observations. To compare these methods we designed a simulation study, where generated samples were truncated from the left at selected quantiles. Parameters’ estimates were then compared to the original values. Simulation study was run separately on skewed normal distribution and truncated normal distribution. Based on the results we created recommendations for practical data analysis.
Návaznosti
| MUNI/A/1132/2022, interní kód MU |
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