Research ArticleOpen AccessGoogle Scholar indexed
About the Mean Difference of the Inverse Normal Distribution
Department of Economics and Mathematical Methods, University of Bari Aldo Moro, Bari, Italy
Department of Economics and Mathematical Methods, University of Bari Aldo Moro, Bari, Italy
- 1 Department of Economics and Mathematical Methods, University of Bari Aldo Moro, Bari, Italy
- 2 Department of Economics and Mathematical Methods, University of Bari Aldo Moro, Bari, Italy
Applied Mathematics·Volume 07 (2016)·Pages 1504–1509·Published 17 August 2016·DOI10.4236/am.2016.714130
Copy link · social · email
Abstract
The calculation of the mean difference for the inverse normal distribution can be obtained by a transformation of variable or a hard integration by parts. This paper shows a simpler formula of the mean difference of the inverse normal distribution that highlights the role of the two parameters on the mean difference of the model. It makes it easier to study the relation of the mean difference with the other indexes of variability for the inverse normal distribution.
KeywordsMean DifferenceInverse Normal Distribution
- Norman, J.L., Samuel, K. and Narayanaswamy, B. (1994/1995) Continuous Univariate Distributions. Wiley, New York, Vol. 1, 1994; Vol. 2, 1995.
- Jagdish, P.K., Kapadia, C.H. and Owen, D.B. (1976) Handbook of Statistical Distributions. Dekker, New York.
- Girone, G. and Mazzitelli, D. (2007) La differenza media nei principali modelli distributivi continui. In: Annali del Dipartimento di Scienze Statistiche “Carlo Cecchi”, dell’Università degli Studi di Bari, Vol. 7, tomo I, Cacucci Editore, Bari, 45-61.
- Girone, G. and Viola, D. (2009) La differenza media della distribuzione di Dagum. Annali del Dipartimento di Scienze statistiche “Carlo Cecchi” dell’Università degli Studi di Bari, 8, 101-106.
- Girone, G., Massari, A. and Mazzitelli, D. (2015) More on the Mean Difference of Continuous Distribution Models. Proceedings of the SIS Conference “Statistics and Demography: The Legacy of Corrado Gini”, Treviso, 9-11 September 2015, 1-8. http://meetings.sis-statistica.org/index.php/ginilegacy/SIS2015/paper/view/3675/771
- Girone, G. and Massari, A. (2015) La differenza media della variabile F di Snedecor, in Studi in ricordo di Carlo Cecchi. Università degli Studi di Bari Aldo Moro, Bari.
- Girone, G., Manca, F. and D’Uggento, A.M. (2015) The Mean Difference of Discrete Distribution Models. Proceedings of the SIS Conference “Statistics and Demography: The Legacy of Corrado Gini”, Treviso, 9-11 September 2015, 1-6. http://meetings.sis-statistica.org/index.php/ginilegacy/SIS2015/paper/view/3532/740
- Manca F. (2016) The Mean Difference for the Lognormal Distribution. Applied Mathematics, 7, Article ID:66769.