(35S) Statistical Distributions Functions

[PedroLeiva]

[attachment=2697][attachment=2697][attachment=2697][attachment=2697]

(10-26-2015 08:30 PM)Dieter Wrote:  

(10-26-2015 04:41 PM)PedroLeiva Wrote:  Thank you very much for your recommendation, but Namir programs are not what I need. In Appendix A, there are detailed calculations based on estimates of the inverse probability of each 4 statistical functions. I also need to calculate probability according to a value of each function.

OK – what exactly do you need? The CDFs for Normal, Student, Chi² and Fisher's F distribution? Also their quantile (inverse) functions? What accuracy is required?

BTW, the 34s does all this. I provided some code for these four quantile functions which are evaluated with mostly 30+ digit accuracy. This is possible due to CDFs that are (mostly) equally accurate. These CDFs in turn are calculated using incomplete Beta and Gamma functions, coded by Pauli.

(10-26-2015 04:41 PM)PedroLeiva Wrote:  HP 67 Statistical Distributions programs (Normal, Chi Square, "F" and "t" Student) a perfect for this purpose.

Could you provide a pointer to this package? How accurate are the results? Do these programs also calculate the inverse (quantile) functions?
If you really appreciate these HP67 programs so much it should be easy to translate them for the 35s.

Dieter

Attached are three HP 67 programs, with descriptions and formulas, some examples or test cases, and the program itself (keystrokes sequence). I need exactly what they allow to calculate, and with the same precision.

I am not a specialist in mathematics; I simply use a lot of statistic and want to become independent of the function tables.