User youpilat13

7 votes

2 answers

4k views

conservation of dot product with parallel transport

differential-geometry

asked Jan 16, 2017 at 0:12

4 votes

0 answers

129 views

Demonstration of inequality between 2 variances expressions

asked Dec 6, 2021 at 19:53

3 votes

0 answers

140 views

Spherical harmonics - Computing the variance of Poisson noise integrated over $\ell$ on a defined quantity?

statistics variance poisson-distribution spherical-harmonics noise

asked Nov 17, 2021 at 14:29

3 votes

1 answer

186 views

Demonstration of relation between geodesics and FLRW metric

differential-geometry tensors geodesic general-relativity

asked Mar 7, 2018 at 8:30

3 votes

1 answer

679 views

Covariant derivative - do the link between 2 expressions

tensors

asked Feb 28, 2017 at 22:48

3 votes

0 answers

113 views

Deduce Geodesics equation from Euler equations

differential-geometry tensors euler-lagrange-equation

asked Jul 24, 2017 at 2:43

3 votes

0 answers

90 views

Statistics with Fisher formalism : loss or gain of information with data cross-correlations

correlation constraints fisher-information cross-variation

asked Jun 9, 2019 at 21:35

2 votes

1 answer

382 views

Maximum Likelihood Estimation - Demonstration of equality between second derivative of log likelihood and product of first derivatives

covariance maximum-likelihood hessian-matrix log-likelihood fisher-information

asked Oct 20, 2019 at 22:31

2 votes

4 answers

108 views

Get statistical significance from the likelihood and so from the posterior (in anisotropy expansion)

probability estimation

asked Dec 12, 2019 at 13:20

2 votes

0 answers

131 views

Directional derivative, gradient and metric

differential-geometry metric-spaces tensors

asked Jun 17, 2018 at 21:01

2 votes

1 answer

714 views

Demonstration for the covariant derivative of a vector

tensors

asked Mar 18, 2017 at 14:33

2 votes

1 answer

1k views

Expression with covariant derivative of a vector component

differential-geometry tensors

asked Mar 6, 2017 at 16:15

1 vote

1 answer

491 views

Difference between Covariant derivative notations

differential-geometry covariance vector-fields

asked Feb 5, 2017 at 7:45

1 vote

0 answers

804 views

Covariant derivative : calculation on basis vectors

tensors

asked Mar 13, 2017 at 7:43

1 vote

1 answer

54 views

Expressions of basis vectors : $\vec{e_{i}}=\dfrac{\partial\vec{OM}}{\partial x^{i}}$ and $\vec{e_{i}}=\dfrac{\partial}{\partial x^{i}}$

differential-geometry differential-forms tensors

asked Mar 27, 2017 at 23:13

1 vote

3 answers

678 views

Directional derivative, gradient and metric

differential-geometry

asked Jun 17, 2018 at 17:42

1 vote

0 answers

72 views

Relation with Hessian and Log-likelihood

expected-value maximum-likelihood hessian-matrix log-likelihood

asked Mar 1, 2020 at 6:23

1 vote

0 answers

81 views

Interpretation and understanding of the relation involving conditional probabilities and conditional densities.

probability probability-distributions conditional-probability density-function bayes-theorem

asked Apr 7, 2020 at 14:24

1 vote

0 answers

87 views

Can we have a Non-Gaussian Likelihood in Fisher's formalism and which are the conditions or examples?

probability statistics markov-chains monte-carlo log-likelihood

asked Jul 23, 2020 at 13:27

1 vote

0 answers

30 views

Covariant derivative set to 0 from differential of metric

differential-geometry

asked Feb 10, 2018 at 0:49

1 vote

1 answer

215 views

How to build a Cross-correlated Covariance matrix by solving an equation with Covariance and Variance expression of an unknown random variable?

statistics random-variables variance covariance

asked Nov 12, 2020 at 14:28

1 vote

0 answers

40 views

Make the link between Generalized eigenvecors and MLE to buid a cross-correlated Fisher or Covariance matrix in order to get better constraints

eigenvalues-eigenvectors matlab covariance maximum-likelihood fisher-information

asked Jan 30, 2021 at 14:28

1 vote

0 answers

24 views

Expression on the computation of a Fisher matrix element : different cases

matrices covariance trace hessian-matrix fisher-information

asked Feb 2, 2021 at 14:47

1 vote

1 answer

56 views

Action of a 1-form on vector : changing of coordinates - tensor calculus

vectors coordinate-systems tensors

asked Feb 12, 2021 at 23:09

1 vote

0 answers

16 views

How to know the percentage of falling of height of Likelihood when I project the edge 1 C.L sigma joint distribution on the 1D Likelihood

probability statistics probability-distributions maximum-likelihood confidence-interval

asked Mar 4, 2021 at 7:25

1 vote

0 answers

53 views

What is the expression of the ratio variance for random variables?

probability variance covariance ratio

asked Mar 13, 2021 at 8:03

1 vote

0 answers

66 views

Expression of multiple covariance terms in the Delta method for a 2D function

statistics variance covariance correlation delta-method

asked Mar 22, 2021 at 1:26

1 vote

1 answer

101 views

Compute Variance of a the ratio of different terms : which term to consider as random variable?

probability statistics expected-value variance standard-deviation

asked Apr 3, 2021 at 7:48

1 vote

1 answer

67 views

Estimator : Mean of ratio of quantities tends to be equal or equal to ratio of mean of quantities

estimation means ratio estimator

asked Jul 24, 2021 at 9:44

0 votes

0 answers

92 views

Expectation for a ratio of sum of $\Gamma$ distributions

statistics probability-distributions summation variance gamma-distribution

asked Aug 11, 2021 at 5:25

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58 Questions

conservation of dot product with parallel transport

Demonstration of inequality between 2 variances expressions

Spherical harmonics - Computing the variance of Poisson noise integrated over $\ell$ on a defined quantity?

Demonstration of relation between geodesics and FLRW metric

Covariant derivative - do the link between 2 expressions

Deduce Geodesics equation from Euler equations

Statistics with Fisher formalism : loss or gain of information with data cross-correlations

Maximum Likelihood Estimation - Demonstration of equality between second derivative of log likelihood and product of first derivatives

Get statistical significance from the likelihood and so from the posterior (in anisotropy expansion)

Directional derivative, gradient and metric

Demonstration for the covariant derivative of a vector

Expression with covariant derivative of a vector component

Difference between Covariant derivative notations

Covariant derivative : calculation on basis vectors

Expressions of basis vectors : $\vec{e_{i}}=\dfrac{\partial\vec{OM}}{\partial x^{i}}$ and $\vec{e_{i}}=\dfrac{\partial}{\partial x^{i}}$

Directional derivative, gradient and metric

Relation with Hessian and Log-likelihood

Interpretation and understanding of the relation involving conditional probabilities and conditional densities.

Can we have a Non-Gaussian Likelihood in Fisher's formalism and which are the conditions or examples?

Covariant derivative set to 0 from differential of metric

How to build a Cross-correlated Covariance matrix by solving an equation with Covariance and Variance expression of an unknown random variable?

Make the link between Generalized eigenvecors and MLE to buid a cross-correlated Fisher or Covariance matrix in order to get better constraints

Expression on the computation of a Fisher matrix element : different cases

Action of a 1-form on vector : changing of coordinates - tensor calculus

How to know the percentage of falling of height of Likelihood when I project the edge 1 C.L sigma joint distribution on the 1D Likelihood

What is the expression of the ratio variance for random variables?

Expression of multiple covariance terms in the Delta method for a 2D function

Compute Variance of a the ratio of different terms : which term to consider as random variable?

Estimator : Mean of ratio of quantities tends to be equal or equal to ratio of mean of quantities

Expectation for a ratio of sum of $\Gamma$ distributions