All Questions
Tagged with ordinary-differential-equations statistics
50
questions
23
votes
1
answer
774
views
Kähler Geodesics
Consider the Kähler manifold in coordinates $(a,b)$ given by the complex Riemannian metric
$$\begin{pmatrix} \frac{1}{1-|a|^2}&\frac{1}{1-a\bar{b}}\\\frac{1}{1-\bar{a}b}&\frac{1}{1-|b|^2}\end{...
- 3,838
5
votes
0
answers
153
views
Clarification in a paper
This is regarding a clarification in page 384 of a paper published in Annals of Statistics by Amari.
In page no. 384, he defines $$R_i(t)=\frac{\partial}{\partial \theta_i} D_{\alpha}\{q(x,t),p(x,\...
- 706
1
vote
1
answer
121
views
Trick in integration with Taylor expansion
I am struggling with the expression of the LHS of the following equation.
The RHS is just the Taylor expansion of the first function around point y and the differentiation wrp to the argument y.
How ...
- 145
1
vote
1
answer
1k
views
Finding the solution for a (differential) equation involving the pdf and cdf of a normal distribution
I have this (differential) equation:
f(x)*x + F(x) = 1
where f(x) is a pdf and F(x) its corresponding cdf.
Or similarly,
F'(x)*x + F(x) = 1
I can calculate x numerically, but I want an analytical ...
- 11
0
votes
1
answer
356
views
Create 'smooth breakpoint function' by using integral?
Experts,
I am a biologist and thus my natural strength is not math, yet I´m quite okay with statistics. Now I am facing the problem that I have to find an unusual (?) mathematical solution for a ...
- 103