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james42
  • Member for 9 years, 1 month
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14 votes
6 answers
2k views

Prove that $\sinh(\cosh(x)) \geq \cosh(\sinh(x))$

7 votes
5 answers
300 views

Integration and evaluation

6 votes
3 answers
3k views

Moment Generating Function and Inverse Laplace transform

5 votes
7 answers
2k views

Double radical proof

4 votes
2 answers
78 views

Let $b_0, b_1,...,b_n$ be real numbers with the property that

4 votes
2 answers
445 views

Binomial Coefficient Inequality, prove $\binom{n}{0} < \binom{n}{1} < \binom{n}{2}< ... <\binom{n}{\left \lfloor {\frac{n}{2}}\right \rfloor}$

4 votes
1 answer
263 views

Computing $\int \sin^n ax \, dx$

4 votes
1 answer
2k views

Characteristic Function of an Ornstein Uhlenbeck process

4 votes
2 answers
3k views

Characteristic Function of Geometric Brownian motion - PDE with terminal condition approach

3 votes
0 answers
44 views

Claims on expectation and MGF

3 votes
4 answers
372 views

Real part of $\frac{1-e^{(n+1)i\theta}}{1-e^{i\theta}}$

3 votes
0 answers
296 views

Information matrix for a Student's T distribution

2 votes
2 answers
123 views

Finding roots of an equation wich involves floor function

2 votes
3 answers
914 views

Expectation inequality

2 votes
2 answers
57 views

Closed form for the n-th term

2 votes
1 answer
219 views

Discrete conditional probability and expectation

2 votes
1 answer
133 views

Strange sum of random variables

2 votes
2 answers
2k views

Taylor expansion of a random variable

2 votes
1 answer
562 views

Let $n$ be a positive integer and $S$ the set of points $(x,y)$ in the plane, where $x$ and $y$ are non-negative integers such that $x + y < n$.

2 votes
0 answers
112 views

Convergence to $\frac{1}{\pi}$

2 votes
1 answer
63 views

Evaluating $\int_{-\infty}^{\frac{x^2}{2}} e^{x-\frac{t^2}2}dt$ using the error function

2 votes
3 answers
362 views

An hard differentiation under the integral sign

2 votes
1 answer
985 views

Exact distribution of the MLE of the quantile function for the exponential distribution

2 votes
1 answer
49 views

Summation and binomial coefficient

2 votes
1 answer
446 views

Student T distribution as a solution of a differential equation

1 vote
1 answer
151 views

Correlation coefficient, and the probability of correct classification

1 vote
1 answer
230 views

Hard recurrence relationship

1 vote
2 answers
189 views

Linear system of equations and its solutions

1 vote
0 answers
36 views

Predicting next bit in a nonrandom serie

1 vote
1 answer
159 views

Sum of all the possible $\binom{N}{n}$ elements of a $N$ elements set