Question

Let $X_{n}$ be the maximum score obtained after $n$ throws of a fair dice. Show that $(X_{n})_{n\in\mathbb{N} }$ is a Markov Chain.

score 1.6k · Answer 1 · 2026-04-15 03:35:29

1.6k

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Let $X_{n}$ be the maximum score obtained after $n$ throws of a fair dice. Show that $(X_{n})_{n\in\mathbb{N} }$ is a Markov Chain.

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84

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151

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387

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187

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374

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536

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score 299 · Answer 11 · 2026-05-11 02:58:02

299

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score 44 · Answer 12 · 2026-04-16 02:07:19

44

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Show directly that $\left\|\Pi^{n}(x,\cdot)-\pi\right\|_{TV} \longrightarrow 0$ where $\Pi$ is transition matrix of a Markov chain.

Published on 16 Apr 2026 - 2:07

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510

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111

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141

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List Question

Let $X_{n}$ be the maximum score obtained after $n$ throws of a fair dice. Show that $(X_{n})_{n\in\mathbb{N} }$ is a Markov Chain.

How to make use Hausdorff-Young inequality to make the following conclusion?

Autocovariance function of autoregressive stochastic process

Finding the PGF for the Immigration Birth Death Proccess

Equivalent definitions of Markov process, existence of transition function and initial distributions

Sloppy financial notation, SDE

Finite dimensional distribution of a stochastic process

How does one view a stochastic process as an element of the space of bounded functions?

Markov Chains Question - long term proportions

Martingale representation theorem and Itô's lemma

What exactly means the notation $\mathbb{E}_xX_t$

Show directly that $\left\|\Pi^{n}(x,\cdot)-\pi\right\|_{TV} \longrightarrow 0$ where $\Pi$ is transition matrix of a Markov chain.

Renewal Process with Poisson lifetimes

Rate Distortion Function for non-stationary sources

Numeraire change in option pricing

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