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Steven01123581321's user avatar
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Steven01123581321
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5 votes
0 answers
357 views

Why do we use the square root as a proportional measure in this optimisation problem?

5 votes
1 answer
646 views

Estimating Lambda in a Poisson population where not all samples can be observed

3 votes
2 answers
115 views

Trying to solve $\frac{1}{\sigma\sqrt{2\pi}}\int_r^\infty xe^{-\frac{1}{2}(\frac{x-\mu}{\sigma})^2}dx$

3 votes
2 answers
191 views

Entropy rate of a finite repetition

2 votes
0 answers
209 views

Relating the loss functions of a geometric and Poisson distribution to their compounding version.

1 vote
1 answer
43 views

Why isn't $\frac{\beta^2}{\alpha^2}\int_{0}^p x^2 f(x, \alpha, \beta) dx = F(p, \alpha+2, \beta)$?

1 vote
1 answer
115 views

On the convexity of the convolution of two strictly decreasing functions

1 vote
0 answers
74 views

Solving for $z$ in $\left((\frac{a}{b}+z)\Phi(\frac{a}{b}+z)+\phi(\frac{a}{b}+z)\right)-\left(z\Phi(z)+\phi(z)\right)$

1 vote
2 answers
91 views

Looking for clarity on the mathematical induction of $\sum_{x=r}^\infty (x-r)f(x) = -(r-\lambda)(1-F(r))+\lambda f(r) $

1 vote
1 answer
109 views

New number triangle?

1 vote
1 answer
68 views

An inequality constraint problem

1 vote
2 answers
322 views

sigmoid function: an algebraic solution

1 vote
2 answers
64 views

Derivation of a well-known property of the standard normal distribution

1 vote
2 answers
2k views

Differentiating a specific cost function

1 vote
1 answer
204 views

Understanding the link between the quote of W.S. Anglin and Fermat last theorem

1 vote
2 answers
2k views

Finding the nearest power of 2 with a formula

1 vote
1 answer
108 views

How to find an iterative algorithm that converges to the optimum?

1 vote
2 answers
25 views

Algebraic operations between two expressions: how to include a constant outside a fraction into the numerator of that fraction

1 vote
1 answer
73 views

How do I get to this formula for this recursive sum and is my reasoning in proving this correct?

1 vote
1 answer
334 views

Writing the first-order loss function of the negative binomial distribution in terms of the CDF and the PMF.

1 vote
1 answer
32 views

The effect on the total area of two equal triangles when decreasing/increasing the height by the same amount.

0 votes
1 answer
65 views

Is this multivariate function convex? And is a Hessian matrix of this form always convex?

0 votes
0 answers
73 views

Solving for the positive constants $a$ and $b$ in $a\left[0.9^xK_0\right]^{-b}-aK_0^{-b} = \theta\left[\frac{1-p^x}{1-p}\right].$

0 votes
0 answers
101 views

On checking the convexity of a multivariate function.

0 votes
2 answers
131 views

Deriving $\frac{q}{r} \times p(q, r) = P(q-1, r)- P(q-1, r+1) $

0 votes
1 answer
27 views

Finding the first forward difference of $f(x) = x-\frac{q(1-q^x)}{p}+q^{x}c$

0 votes
2 answers
36 views

A question on inequality equivalence

0 votes
1 answer
361 views

derivation of the standard normal loss function to an algebraic form

0 votes
1 answer
47 views

Struggling with a recursive expression

0 votes
1 answer
63 views

Solving for x that is in a function with sums