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Previous year question hub

Stochastic Processes - Statistics Previous Year Questions

Practice Stochastic Processes - Statistics previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

8Papers
8Years
35Questions
1Topics

Stochastic Processes question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Stochastic Processes. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Medium 24 68.6%
Easy 10 28.6%
Hard 1 2.9%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

Numerical Answer Type (NAT) 20 57.1%
MCQ 12 34.3%
MSQ 3 8.6%

Subject weightage

Top subjects by unique question coverage.

Statistics
35 Qs

Most asked topics

Top topics across the included previous year papers.

Stochastic Processes
35 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Markov Chains and Stationary Distributions
19 Qs
Poisson and Birth-death Processes
10 Qs
Brownian Motion
6 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

Statistics (ST) 2026
3 Qs
Statistics (ST) 2025
3 Qs
Statistics (ST) 2024
4 Qs
Statistics (ST) 2023
4 Qs
Statistics (ST) 2022
6 Qs
Statistics (ST) 2021
5 Qs
Statistics (ST) 2020
5 Qs
Statistics (ST) 2019
5 Qs

Browse by subtopics

Open a focused page built from the same verified paper data.

Markov Chains and Stationary Distributions

Explore previous-paper coverage, trends and focused practice for Markov Chains and Stationary Distributions.

19 questions8 papers8 years

Poisson and Birth-death Processes

Explore previous-paper coverage, trends and focused practice for Poisson and Birth-death Processes.

10 questions8 papers8 years

Brownian Motion

Explore previous-paper coverage, trends and focused practice for Brownian Motion.

6 questions6 papers6 years

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
Statistics (ST) 202620263View paper
Statistics (ST) 202520253View paper
Statistics (ST) 202420244View paper
Statistics (ST) 202320234View paper
Statistics (ST) 202220226View paper
Statistics (ST) 202120215View paper
Statistics (ST) 202020205View paper
Statistics (ST) 201920195View paper

Sample previous year questions

A varied preview from the papers represented in this selection, with every available option.

1
2019 · Statistics · Stochastic Processes · Markov Chains and Stationary Distributions
Statistics (ST) 2019
Consider a discrete time Markov chain on the state space {1,2,3} with one-step transition probability matrix \(\begin{pmatrix} 1 & 2 & 3 \\ 1 & 0.7 & 0.3 & 0 \\ 2 & 0 & 0.6 & 0.4 \\ 3 & 0 & 0 & 1 \end{pmatrix}\). Which of the following statements is true?
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2
2020 · Statistics · Stochastic Processes · Poisson and Birth-death Processes
Statistics (ST) 2020
Let \(\{N(t), \ t \geq 0\}\) be a Poisson process with rate \(\lambda = 2\). Given that \(N(3) = 1\), the expected arrival time of the first event of the process is
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3
2021 · Statistics · Stochastic Processes · Brownian Motion
Statistics (ST) 2021
Let \( \{W(t)\}_{t \geq 0} \) be a standard Brownian motion. Then the variance of \( W(1)W(2) \) equals
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4
2022 · Statistics · Stochastic Processes · Markov Chains and Stationary Distributions
Statistics (ST) 2022
Let \( \{X(t)\\}_{t \geq 0} \) be a linear pure death process with death rate \( \mu_i = 5i, \; i = 0, 1, ..., N, \; N \geq 1 \). Suppose that \( p_i(t) = P(X(t) = i) \). Then the system of forward Kolmogorov’s equations is
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5
2023 · Statistics · Stochastic Processes · Brownian Motion
Statistics (ST) 2023
Let \( \{W_t\}_{t \geq 0} \) be a standard Brownian motion. Then \( E(W_4^2 | W_2 = 2) \) (in integer) equals ______________
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6
2024 · Statistics · Stochastic Processes · Brownian Motion
Statistics (ST) 2024
Let \( \{W(t)\}_{t \geq 0} \) be a standard Brownian motion. Which one of the following statements is NOT true?
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