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A game of snakes and ladders or any other game whose moves are determined entirely by dice is a Markov chain, indeed, an absorbing Markov chain. This is in contrast to card games such as blackjack, where the cards represent a 'memory' of the past moves. To see the difference, consider the probability for a certain event in the game.
Instead of defining to represent the total value of the coins on the table, we could define to represent the count of the various coin types on the table. For instance, X 6 = 1 , 0 , 5 {\displaystyle X_{6}=1,0,5} could be defined to represent the state where there is one quarter, zero dimes, and five nickels on the table after 6 one-by-one draws.
Statistical Football prediction is a method used in sports betting, to predict the outcome of football matches by means of statistical tools. The goal of statistical match prediction is to outperform the predictions of bookmakers [citation needed] [dubious – discuss], who use them to set odds on the outcome of football matches.
An addition-subtraction chain for n, of length L, is an addition-subtraction chain such that =. That is, one can thereby compute n by L additions and/or subtractions. (Note that n need not be positive. In this case, one may also include a −1 = 0 in the sequence, so that n = −1 can be obtained by a chain of length 1.)
Shadowstats.com is a website that analyzes and offers alternatives to government economic statistics for the United States.Shadowstats primarily focuses on inflation, but also keeps track of the money supply, unemployment and GDP by utilizing methodologies abandoned by previous administrations from the Clinton era to the Great Depression.
In probability theory, a transition-rate matrix (also known as a Q-matrix, [1] intensity matrix, [2] or infinitesimal generator matrix [3]) is an array of numbers describing the instantaneous rate at which a continuous-time Markov chain transitions between states.
The class of stochastic chains with memory of variable length was introduced by Jorma Rissanen in the article A universal data compression system. [1] Such class of stochastic chains was popularized in the statistical and probabilistic community by P. Bühlmann and A. J. Wyner in 1999, in the article Variable Length Markov Chains.
The easystats collection of open source R packages was created in 2019 and primarily includes tools dedicated to the post-processing of statistical models. [1] [2] As of May 2022, the 10 packages composing the easystats ecosystem have been downloaded more than 8 million times, and have been used in more than 1000 scientific publications.