https://www.lotterypost.com/thread/145473 Lottery Post Forum Topic: Random Number Transforms - Normal Distribution en-us Lottery Post RSS Generator https://www.lotterypost.com/thread/145473/717758 https://www.lotterypost.com/thread/145473/717758 Sat, 25 Nov 2006 22:04:08 GMT JADELottery Here's an example of the digital transform for 1,500 random samples when n = 10:

1,500 Random Digital Samples, n = 10

-3, -2, -1, 0, 3, 1, 0, -1, 1, 2, 2, -1, 1, -1, 1, 4, -1, -1, 2, 3, -1, -2, 0, 0, -3, 3, 1, 3, -1, 0, -2, 0, 3, -4, -2, 0, 3, -3, -2, -1, 0, 3, 0, -1, 1, -1, 3, 2, -6, 4, -1, 2, -2, 3, -1, 2, -3, 0, 0, 1, 3, -2, 5, -2, 1, 0, -1, 0, 1, 0, -3, 4, 1, 1, 0, 4, -1, -2, 0, 1, 0, 0, 3, -1, 1, -3, 2, -2, 0, 1, 0, -5, 2, 1, 0, 3, 0, -4, 1, -2, 0, 1, 3, 2, 3, -4, -1, -3, 5, 0, -4, -2... [ More ]

]]> JADELottery https://www.lotterypost.com/thread/145473/717402 https://www.lotterypost.com/thread/145473/717402 Sat, 25 Nov 2006 10:13:07 GMT JADELottery I don't use the analog transform by itself too much; I mostly use the decimal and digital. The decimal is used when a known value of s is available. The digital is used to achieve an integer distribution in the range of -n to n values. There are two parts of the equation that need to be randomized, the y value and the sign ( ) value. Below are the functions I use in Visual Basic to generate the decimal and digital transforms.

Decimal function VB code

Function Rand_SD(s As Double) As D... [ More ]

]]> JADELottery https://www.lotterypost.com/thread/145473 https://www.lotterypost.com/thread/145473 Fri, 24 Nov 2006 20:15:33 GMT JADELottery Random Number Transforms - Normal Distribution

Analog - x = -2s² ln(1 - y)

Decimal - x = ( -2s² ln(1 - y) - (s / 2))

Digital - x = ( -n ln(1 - y) - ((1 / 2) * n / 2))

y - random number, 0 y < 1

s - standard deviation

n - digital deviation, | x | n

x - transformed random number

- values of x randomly alternate

Analog values are not rounded to any fixed decimal or integer.

Decimal values of... [ More ]

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