Application of Stochastic Process to Lottery in Nigeria

Abstract: Lottery is one of the most popular forms of gambling which offers gamblers opportunity to win large cash prize for a relatively low cost. Research on lottery gambling could examine the effect of mediators in the relationships between independent variables and gambling behaviour. We consider the case of premier lotto and selected six (6) different players at random over a number of years. The methods used in these researches are Markov Chain and Stationarity of the state process. For every player in the system, we obtain the long run probability or likelihood of winning if every player continues playing indefinitely. We obtain the inter state transition probabilities indicating the transition of each player from one year to other.

Lottery, Markov Chain, Stationarity, Transition Matrix, Gambling

1. Abbott,m.w. (2001). What do we know about gambling in New Zealand? Report number seven of the zealand Gaming Survey. Wellington Department of Internal Affairs [Google Scholar] [Crossref]

2. Abbott,M.W., Volberg, R.A.,Bellringer, M.E., & Reith, G. (2004).A review of research on aspects of problem gambling. London: Resonsibility in Gambling Trust. [Google Scholar] [Crossref]

3. Amey, B. (2001). People’s participation in and attitudes to gaming, 1985-2000. Wellington: Department of internal Affairs [Google Scholar] [Crossref]

4. Bernstein,PL. Against the odds: the remarkable of risk. John wiley & sons, New York;1996 [Google Scholar] [Crossref]

5. Doob, J.L. (1953), Stochastic processes. John Wisley & Sons, Newyork. [Google Scholar] [Crossref]

6. Nowatzi and Willians (2002) identify this as a significant issue for self-exclusion programmes [Google Scholar] [Crossref]

7. Williams, West, & Simpson (2007) state that self-exclusion programme are only as effective as their ability to monitor [Google Scholar] [Crossref]

• Wind Turbine Design for Low Wind Speed Applications: Advancing Renewable Energy Systems Through Wind Tunnel Experiments
• Fast Identification for Evidences in Crime Scene with Macroscopic Properties and Portable Techniques
• Evaluating the Impact of Hello Interval Timer on OSPF Performance for Real-Time Applications Using OPNET
• The Algorithmic Fortress: Ai-Powered Cybersecurity and Anti-Fraud in The Future of Fintech
• Accident Detection on Curved Roads Using Infrared Sensors in Hilly Regions A Case of Chadoora Tehsil, Badgam (J&K)