The Best Time to Play the Lottery

References

• Abrams, A., and Garibaldi, S. (2010), “Finding Good Bets in the Lottery, and Why You Shouldn’t Take Them,” The American Mathematical Monthly, 117(1):3–26.
   Web of Science ®Google Scholar
• Casella, G., and Berger, R. L. (2002), Statistical Inference (2nd ed.), Pacific Grove: Duxbury Press.
   Google Scholar
• Cook, P.J., and Clotfelter, C. T. (1993), “The Peculiar Scale Economies of Lotto,” The American Economic Review, 83, 634–643.
   Web of Science ®Google Scholar
• Cox, S. J., Daniell, G. J., and Nicole, D. A. (1998), “Using Maximum Entropy to Double One’s Expected Winnings in the UK National Lottery,” Journal of the Royal Statistical Society, Series D, 47, 629–641.
   Google Scholar
• DeBoer, L. (1990), “Lotto Sales Stagnation: Product Maturity or Small Jackpots?” Growth and Change, 21, 73–77. DOI: 10.1111/j.1468-2257.1990.tb00511.x.
   Web of Science ®Google Scholar
• Drakakis, K. (2010), “A Winner’s Mean Earnings in Lottery and Inverse Moments of the Binomial Distribution,” Journal of Probability and Statistics, 2010, 279154. DOI: 10.1155/2010/279154.
   Google Scholar
• Farrell, L., and Walker, I. (1999), “The Welfare Effects of Lotto: Evidence from the UK,” Journal of Public Economics, 72, 99–120. DOI: 10.1016/S0047-2727(98)00089-9.
   Web of Science ®Google Scholar
• Forrest, D., and Gulley, O. D. (2013), “The Efficiency of Lottery Markets,” The Oxford Handbook of the Economics of Gambling, eds. L. Vaughan-Williams and D. S. Siegel, pp. 589–610, Oxford: Oxford University Press.
   Google Scholar
• Forrest, D., and Pérez, L. (2013), “The Football Pools,” in The Oxford Handbook of the Economics of Gambling, eds. L. Vaughan-Williams and D. S. Siegel, pp. 147–162, Oxford: Oxford University Press.
   Google Scholar
• Gerchak, Y., and Gupta, D. (1987), “How Many Lottery Tickets to Buy?” Operations Research Letters, 6, 69–71. DOI: 10.1016/0167-6377(87)90032-0.
   Web of Science ®Google Scholar
• Grote, K., and Matheson, V. (2006), “In Search of a Fair Bet in the Lottery,” Eastern Economic Journal, 32, 673–684.
   Google Scholar
• Grote, K., and Matheson, V. (2013), “The Economics of Lotteries: A Survey of the Literature,” in The Oxford Handbook of the Economics of Gambling, eds. L. Vaughan-Williams and D. S. Siegel, pp. 670–691, Oxford: Oxford University Press.
   Google Scholar
• Gulley, O. D., and Scott Jr., F. A. (1993), “The Demand for Wagering on State-Operated Lotto Games,” National Tax Journal 46, 13–22. DOI: 10.1086/NTJ41788992.
   Web of Science ®Google Scholar
• Hakansson, N. H., and Ziemba, W. T. (1995), “Capital Growth Theory,” Handbooks in Operations Research and Management Science, 9, 65–86.
   Google Scholar
• Hofer, V., and Leitner, J. (2011), “Should European Gamblers Play Lotto in the USA?,” European Journal of Operational Research, 215, 181–187. DOI: 10.1016/j.ejor.2011.05.049.
   Web of Science ®Google Scholar
• Internal Revenue Service. (2021), “Instructions for Forms W-2G and 5754 (01/2021),” available at www.irs.gov/instructions/iw2g
   Google Scholar
• Joe, H. (1990), “A Winning Strategy for Lotto Games?,” Canadian Journal of Statistics, 18, 233–244. DOI: 10.2307/3315454.
   Web of Science ®Google Scholar
• Johnson, R., and Klotz, J. (1993), “Estimating Hot Numbers and Testing Uniformity for the Lottery,” Journal of the American Statistical Association, 88, 662–668. DOI: 10.1080/01621459.1993.10476320.
   Web of Science ®Google Scholar
• Kelly, J. L. (1956). “A New Interpretation of Information Rate,” Bell System Technical Journal, 35, 917–926. DOI: 10.1002/j.1538-7305.1956.tb03809.x.
   Google Scholar
• Mega Millions® lottery website, available at megamillions.com
   Google Scholar
• Mega Millions Wikipedia page, available at en.wikipedia.org/wiki/Mega_Millions
   Google Scholar
• Papachristou, G. (2009), “Scale Economies of Lotto Once More,” Applied Economics Letters, 16, 319–323. DOI: 10.1080/13504850601018445.
   Web of Science ®Google Scholar
• Powerball® lottery website, available at powerball.com
   Google Scholar
• Powerball Wikipedia page, available at en.wikipedia.org/wiki/Powerball
   Google Scholar
• Quiggin, J. (1991). “On the Optimal Design of Lotteries,” Economica, 58, 1–16. DOI: 10.2307/2554972.
   Web of Science ®Google Scholar
• Rump, C. (2023), “Mega Millions and Powerball data [Data set],” Zenodo. DOI: 10.5281/zenodo.10396455.
   Google Scholar
• Stern, H., and Cover, T. M. (1989). “Maximum Entropy and the Lottery,” Journal of the American Statistical Association, 84, 980–985. DOI: 10.1080/01621459.1989.10478862.
   Web of Science ®Google Scholar