Flexible distributions in both the continuous and discrete environments allowing for asymmetry and overdispersion

Focusing on the modelling of time series data, the pariticular study applies and illustrates theoretical contributions using existing, publicly accessible secondary data. The data is either continuous or discrete of nature with asymmetric attributes.

Survival.txt: survival times (in days) of guinea pigs infected with virulent tubercle bacilli. Shanker, R., Shukla, K. K., Shanker, R. and Tekie, A. (2017). A three-parameter Lindley distribution, American Journal of Mathematics and Statistics 7(1): 15-26.

Psych.txt: the length of stay on a psychiatric ward of male patients. Data set 75 of Hand, D. J., Daly, F., McConway, K., Lunn, D. and Ostrowski, E. (1993). A handbook of small data sets, cRc Press.

Waiting.txt: waiting times (in minutes) before service of banking customers. Ghitany, M. E., Atieh, B. and Nadarajah, S. (2008). Lindley distribution and its application, Mathematics and computers in simulation 78(4): 493-506.

Austres.txt: quarterly estimated Australian resident population data (in 1000) for June 1971 to June 1993. http://users.stat.umn.edu/~kb/classes/5932/data/austres.txt; also available in the tseries package of R software.

Downloads.txt: daily number of downloads of certain software for June 2006 to February 2007. Weiss, C. H. (2008). Thinning operations for modeling time series of counts-a survey, AStA Advances in Statistical Analysis 92(3): 319-341.

Goldparticles.txt: number of gold particles measured in a fixed volume element of a colloidal solution over time. Weiss, C. H. (2018). An Introduction to Discrete-Valued Time Series, John Wiley & Sons.

Insolvencies.txt: monthly (seasonally adjusted) number of insolvencies in SA for January 2000 to November 2019.

Stats SA, http://www.statssa.gov.za/?page_id=1854&PPN=P0043&SCH=72647 (accessed December 2019).

Strike.txt: monthly number of strikes leading to at least 1000 workers being idle for January 1994 to December 2002. U.S. Bureau of Labor Statistics, http://www.bls.gov/wsp/.

Terrorism.txt: yearly number of terrorism incidents in Australia for years 1970 to 2015. Available in the Ecdat package of R software.

Viscosity.txt: hourly measurements of viscosity during a chemical process. Series D in Box, G. E. and Jenkins, G. M. (1970). Time Series Analysis: Forecasting and Control, Holden Day, San Francisco.