why geometric multiplicity is bounded by algebraic multiplicity?
The geometric multiplicity the be the dimension of the eigenspace associated with the eigenvalue $\lambda_i$. For example: $\begin{bmatrix}1&1\\0&1\end{bmatrix}$ has root $1$ with …
Calculate expectation of a geometric random variable
A clever solution to find the expected value of a geometric r.v. is those employed in this video lecture of the MITx course "Introduction to Probability: Part 1 - The Fundamentals" (by the …
statistics - What are differences between Geometric, Logarithmic …
Aug 3, 2020 · Now lets do it using the geometric method that is repeated multiplication, in this case we start with x goes from 0 to 5 and our sequence goes like this: 1, 2, 2•2=4, 2•2•2=8, …
MLE of the Geometric Distribution - Mathematics Stack Exchange
Apr 17, 2022 · Regrettably, there are two distributions that are called geometric [1], the classical one, taking values in $1,2,\ldots$ and the shifted variant that takes values in $0,1,2,\ldots$.
Proof of geometric series formula - Mathematics Stack Exchange
Sep 20, 2021 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …
terminology - Is it more accurate to use the term Geometric …
In both geometric and exponential growth we find multiplication by a fixed factor. The distinction lies in that 'exponential growth' is typically used to describe continuous time growth (steps of …
Solving for the CDF of the Geometric Probability Distribution
Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their …
What does the dot product of two vectors represent?
May 23, 2014 · It might help to think of multiplication of real numbers in a more geometric fashion. $2$ times $3$ is the length of the interval you get starting with an interval of length $3$ and …
probability theory - How to prove that geometric distributions …
Dec 21, 2011 · The geometric distribution has the interpretation of the number of failures in a sequence of Bernoulli ...
Stochastic Differential Equation solution for Geometric Brownian …
May 20, 2017 · The chapters discussing numerical approximations to the geometric BM should greatly help your understanding. $\endgroup$ – Lutz Lehmann Commented May 20, 2017 at 8:08