1,677 reputation
1817
bio website nicolasessisbreton.com
location Montreal, Canada
age 30
visits member for 3 years, 2 months
seen Oct 22 at 12:18

I'm a graduate math student at Concordia University, Montreal.


May
20
awarded  Constituent
May
17
accepted Vector valued Mean value theorem: Norm for the gradient
May
17
revised Vector valued Mean value theorem: Norm for the gradient
added 29 characters in body
May
17
asked Vector valued Mean value theorem: Norm for the gradient
May
17
accepted Show $5z^n=e^z$ has a finite number of zero in $\{a<\Im z < v\}$ and $\{a < \Re z < b \}$
May
16
asked What is the function given by $\sum_{n=0}^\infty \binom{b+2n}{b+n} x^n$, where $b\ge 0$, $|x| <1$
May
16
accepted Show the map $f(x)=\frac12 (x+1/x)$ has an attractive fixed point in $(0,\infty)$
May
16
asked Show the map $f(x)=\frac12 (x+1/x)$ has an attractive fixed point in $(0,\infty)$
May
13
comment Maximum likelihood in exponential family: $\partial_{\theta,\theta} \ln L = -\mathrm{Var}(T)$, $T$ sufficient for $\theta$
@Caran-d'Ache I think you mean $$\mathrm{Var}(T) \ge (E(-\partial_{\theta,\theta} \ln L))^{-1},$$ the Cramer-Rao lower for the variance of $T$. From my calculation, this works, and it explains why they are inverse of each other. Thanks for your input, combine with Did comment, I better understand what is going on.
May
13
accepted Mean number of particle present in the system: birth-death process, $E(X_t|X_0=i)$, $b_i=\frac{b}{i+1}$, $d_i=d$
May
12
asked Maximum likelihood in exponential family: $\partial_{\theta,\theta} \ln L = -\mathrm{Var}(T)$, $T$ sufficient for $\theta$
May
9
asked Mean number of particle present in the system: birth-death process, $E(X_t|X_0=i)$, $b_i=\frac{b}{i+1}$, $d_i=d$
May
7
awarded  Popular Question
May
7
awarded  Caucus
May
6
revised show $\frac{1}{n}\sum (X_i - \mu_i) \xrightarrow{L^2} 0$, $X_i$ independent with mean $\mu_i$
added 5 characters in body
May
6
asked show $\frac{1}{n}\sum (X_i - \mu_i) \xrightarrow{L^2} 0$, $X_i$ independent with mean $\mu_i$
May
5
accepted Show $\dbinom{n}{2}^{-1} \sum_{i < j} X_i X_j \xrightarrow{p} \mu^2$, when $X_i$ are i.i.d. with mean $\mu$ and finite variance
May
5
asked Show $\dbinom{n}{2}^{-1} \sum_{i < j} X_i X_j \xrightarrow{p} \mu^2$, when $X_i$ are i.i.d. with mean $\mu$ and finite variance
May
2
revised Prove inequality using optional sampling
added 252 characters in body
May
2
answered Prove inequality using optional sampling