Probability Theory

F(1-(x+y)=1-F(x)-F(y) Name of this functional equation? Moreover what if F(1-x)+F(x)=1 in addition, it looks like cauchy equation just restricted

What the name of this functional(A) equation for F:[0,1] to [0,1] (A) F(1-(x+y)=1-F(x)-F(y) Name of this functional equation? it specifies F(1/3)=1/3 and this (B)...

01 January 1970 2,867 8 View

Are midpoint convex functions rationally or (nearly) rationally super-additive with F(0)=0? or under other conditions, if not?

are midpoint convex functions F(x/2+y/2)=F(x)+F(y); for pairs of points or rational numbers (or something...

01 January 1970 7,745 11 View

Can a strictly increasing monontic convex function on the unit interval agree with F(x)=x at three points

https://math.stackexchange.com/questions/2265396/can-this-strictly-increasing-convex-function-f-meet-its-linear-line-segment-in three places. See my post Is this correct that this result or...

01 January 1970 4,881 1 View

Are there any non trivially weaker forms of midpoint convexity?misuse of midpoint convexity?

I am wondering whether there are some weaker forms of midpoint convexity; in my system it appears that jensens equation, as far as I can see, will just fall out; if not cauchy equation or...

01 January 1970 6,879 2 View

What is math?

Math is quantification of a repetitive behavior. What is the origin of probability theory?

01 January 1970 3,501 19 View

Are there independent continuous functions?

Let f and g be real functions defined on [0, 1], and denote by λ the Lebesgue measure on [0, 1]. In probability theory, f and g are called independent (on [0, 1]) if λ(f∈I, g∈J) = λ(f∈I) · λ(g∈J)...

01 January 1970 3,102 10 View

What other comparisons can be made about Fractional Gaussian noise and Fractional Brownian motion?

In probability theory, fractional Brownian motion (fBm), also called a fractal Brownian motion, is a generalization of Brownian motion. Unlike classical Brownian motion, the increments of fBm...

01 January 1970 1,464 2 View

How helpful spiritual intelligence in management and business.

suggest with probable theories and examples

01 January 1970 6,268 4 View

No title

01 January 1970 4,884 0 View

Can we generalize the concept of "characters" in group theory via methods from statistics and probability theory? | ResearchGate

Dear colleagues, I would appreciate if you give comments on the following...

01 January 1970 9,676 0 View

How to estimate conditional probabilities in bayesian model averaging? | ResearchGate

We need to prepare a weighted average multi-model ensemble of projected future daily precipitation by assigning weights to individual CMIP6 models based on past performance. For this purpose, We...

01 January 1970 5,880 0 View