- If you want a computer-generated article with explicit expressions (as polynomials in A and B) of the first 20 moments of the duration of a fair 2-player gambler's ruin with intial
capitals A and B, then
the input file produces the output file .
- If you a TERSE version of the above
the input file produces the output file .
- If you the first 20 (i) binomial (ii) straight (iii) about-the-mean (iv) scaled, and some limiting information, for 2-player gambler's ruin with TIES
the input file produces the output file .
- If you want a computer-generated article with explicit expressions (as polynomials in A, B, and C) of the first 10 moments of the duration of a fair 3-player gambler's ruin with intial
capitals A, B, and C, then
the input file produces the output file .
- If you want the list of the first 20 moments about the mean of the duration of 2-player gambler's ruin with initial capitals A,B
the input file produces the output file .
- If you want the list of the first 40 moments about the mean of the duration of 2-player gambler's ruin with initial capitals A,B
the input file produces the output file .
It also gives you the special case A=B, and the limiting scaled moments of the latter.
- If you want the list of the first 10 moments about the mean of the duration of 3-player gambler's ruin with initial capitals A,B,C
the input file produces the output file .
[Note: this is contained in the file below, but since the latter file is so large, we keep it]
- If you want the list of the first 20 moments about the mean of the duration of 3-player gambler's ruin with initial capitals A,B,C
the input file produces the output file .
Warning: large file.
- Consider a 2-player gambler's ruin with equal initial capitals, A, and A,
If you want a list of 20 numbers whose first entry is the expected duration divided by A^{2},
whose second entry is the LIMIT of the variance of the duration divided by A^{4}, as A goes to infinity, while
the remaining entries are the Limits, as A goes to infinity, of the third through the 20th scaled moments:
the input file produces the output file .
- Consider a 3-player gambler's ruin with equal initial capitals, A, A, and A,
If you want a list of 10 numbers whose first entry is the expected duration divided by A^{2},
whose second entry is the LIMIT of the variance of the duration divided by A^{4}, as A goes to infinity, while
the remaining entries are the Limits, as A goes to infinity, of the third through the 15th scaled moments:
the input file produces the output file .