- Tytuł:
- Confidence Intervals for The Ratio of Two Means Using the Distribution of the Quotient of Two Normals
- Autorzy:
-
Galeone, Carlotta
Pollastri, Angiola - Powiązania:
- https://bibliotekanauki.pl/articles/465934.pdf
- Data publikacji:
- 2012
- Wydawca:
- Główny Urząd Statystyczny
- Tematy:
-
estimator of the ratio of two means distribution of the ratio of two correlated normals
skewness
confidence intervals for the ratio Fieller’s theorem - Opis:
- In various scientific fields such as medicine, biology and bioassay, several ratio quantities assumed to be Normal, are of potential interest. The estimator of the ratio of two means is a ratio of two random variables normally or asymptotically normally distributed. The present paper shows the importance of considering the real distribution of the estimator of the ratio of two means, because generally the approximation to Normal is not satisfied. The estimated asymptotic cumulative and density function of the estimator of the ratio is presented, with several considerations on the skewness. Finally, a new method for building confidence intervals for the ratio of two means was proposed. In contrast to other parametric methods, this new method is worthy to be preferred because it considers the skewness in the distribution of the ratio estimator, and the confidence intervals are always bounded.
- Źródło:
-
Statistics in Transition new series; 2012, 13, 3; 451-472
1234-7655 - Pojawia się w:
- Statistics in Transition new series
- Dostawca treści:
- Biblioteka Nauki
Artykuł