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Results tagged with stochastic-processes
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user 109372
A stochastic process describes the evolution of random variables/systems over time and/or space and/or any other index set. It has applications in areas such as econometrics, weather, signal processing, etc. Examples: Gaussian process, Markov process, etc.
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What type of statistics is Probability? [closed]
Are probability, random-variable, and stochastic process part of descriptive statistics or inferential statistics?
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Manually simulating Poisson Process in R
The following problem tells us to generate a Poisson process step by step from $\rho$ (inter-arrival time), and $\tau$ (arrival time).
One of the theoretical results presented in the lectures g …
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Is this problem worked out correctly? [closed]
Calls are received at a company call center according to a Poisson process at the rate of five calls per minute.
(a) Find the probability that no call occurs over a 30-second period.
(b) Find t …
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Compute the Limiting Distribution
Consider the transition matrix
$ P = \begin{bmatrix} 1-p&p\\ q&1-q \end{bmatrix} $
for general $2$-state Markov Chain $(0 \le p, q\le 1)$.
Find the limiting distribution (if …
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Expectation of arrival times
Let $(N_t)_t$ be a Poisson process with parameter λ = 2. By $τ_k$ denote the time of the k-th arrival (k = 1, 2, . . .), and by $ρ_k = τ_k −τ_{k−1}$ - the interarrival time between the (k−1)th and …
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How can I compute expected return time of a state in a Markov Chain?
I was watching a YouTube video regarding the calculation of expected return time of a Markov Chain.
https://www.youtube.com/watch?v=X_Ll0-Ytu7U&vl=en
I haven't understood the calculation of $m_{12}$ …
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What is the difference between time, arrival-time, and inter-arrival-time is poisson process?
Let $(N_t)_t$ be a Poisson process with parameter λ = 2. By $τ_k$ denote the time of the k-th arrival (k = 1, 2, . . .), and by $ρ_k = τ_k −τ_{k−1}$ - the interarrival time between the (k−1)th and …
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Some simple examples to understand various types of Stochastic Processes
I am trying to understand various types of stochastic processes through some analogical examples using simple experiments like a coin toss or die roll.
The book of Hwei Hsu (Chapter-5, Page-162-165, …
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What is the difference between a Random Vector (Joint r.v.) and a Random Process?
What is the difference between a Random Vector (Joint r.v.) and a Random Process?
Kindly, explain with a simple example (like toss of a coin, roll of a die, picking a card, etc.).
Note. As far as I un …
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