(25) Poisson Distribution

12232017, 06:39 PM
Post: #1




(25) Poisson Distribution
extracted from Matematisk Institutt (MAR, 1977) Avd.C by Erling Sverdrup
[attachment=5471] [attachment=5472] [attachment=5473] [attachment=5474] [attachment=5475] BEST! SlideRule 

12242017, 12:20 PM
(This post was last modified: 12242017 12:58 PM by Dieter.)
Post: #2




RE: (25) Poisson Distribution
(12232017 06:39 PM)SlideRule Wrote: extracted from Matematisk Institutt (MAR, 1977) Avd.C by Erling Sverdrup First of all: This seems to be the Erling Sverdrup who has an own article on Wikipedia: Quote:Erling Sverdrup (23 February 1917 – 15 March 1994) was a Norwegian statistician and actuarial mathematician. He played an instrumental role in building up and modernising the fields of mathematical statistics and actuarial science in Norway, primarily at the Department of Mathematics at the University of Oslo but also via his links to Statistics Norway. So "Matematisk Institutt" is the department of mathematics / math sciences at the university of Oslo. "Avd. C" is short for "avdeling C" which simply means "department C". The idea of rescaling exp(λ) to prevent underflow is nice, but the implementation of the first program leaves room for improvments. Forty years later, here is another version that implements the same idea and works with the exact threshold (ln 1E99) instead of 227. Code: 01 STO 3 Input: λ [ENTER] k Output X: cumulative distribution function P(x≤k) Output Y: probability mass function P(x=k) Registers: R0: PMF R1: CDF R2: λ R3: k R4: x=0...k Example: f [PRGM] f [FIX] 4 4,68 [ENTER] 5 [R/S] => 0,6719 [X↔Y] => 0,1736 240 [ENTER] 10 [R/S] => 1,0717063 E–87 [X↔Y] => 1,0272443 E–87 450 [ENTER] 450 [R/S] => 0,5125 [X↔Y] => 0,0188 Both results can also be recalled from R1 or R0 respectively. Dieter 

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