- Tytuł:
- A comparison study on a new five-parameter generalized Lindley distribution with its sub-models
- Autorzy:
-
Tharshan, Ramajeyam
Wijekoon, Pushpakanthie - Powiązania:
- https://bibliotekanauki.pl/articles/1363562.pdf
- Data publikacji:
- 2020-06-05
- Wydawca:
- Główny Urząd Statystyczny
- Tematy:
-
Lindley distribution
mixture distributions
size-biased distributions
maximum likelihood estimation - Opis:
- In recent years, modifications of the classical Lindley distribution have been considered by many authors. In this paper, we introduce a new generalization of the Lindley distribution based on a mixture of exponential and gamma distributions with different mixing proportions and compare its performance with its sub-models. The new distribution accommodates the classical Lindley, Quasi Lindley, Two-parameter Lindley, Shanker, Lindley distribution with location parameter, and Three-parameter Lindley distributions as special cases. Various structural properties of the new distribution are discussed and the size-biased and the lengthbiased are derived. A simulation study is conducted to examine the mean square error for the parameters by means of the method of maximum likelihood. Finally, simulation studies and some real-world data sets are used to illustrate its flexibility in terms of its location, scale and shape parameters.
- Źródło:
-
Statistics in Transition new series; 2020, 21, 2; 89-117
1234-7655 - Pojawia się w:
- Statistics in Transition new series
- Dostawca treści:
- Biblioteka Nauki
Artykuł