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Probability and Statistics, frequentist and Bayesian

Probability theory, frequentist inference and Bayesian statistics — one-to-one and online, for maths, science, engineering and economics degrees.

What this covers in detail

Frequentist

Random variables and distributions, limit theorems, estimators and their properties, confidence intervals, hypothesis tests and regression.

Bayesian

Bayes’ theorem, priors and posteriors, conjugate families, credible intervals, model comparison and an introduction to MCMC.

Statistics courses teach two ways of reasoning about uncertainty and rarely say how they relate. These lessons teach both — the frequentist tools most exams are built on and the Bayesian methods most modern courses add — and make clear when each one answers the question being asked.

What this covers

Both schools, side by side

The same problem solved both ways — so the difference between a confidence interval and a credible interval is clear, not memorised.

Probability first

Statistics rests on probability. Gaps there — conditioning, expectation, distributions — are fixed first, because everything else depends on them.

R or Python when you need it

For courses with a computing component, the analysis is done in the language your course uses.

Pricing

Choose the support that fits.

One-to-one tutoring, from a single session to consistent weekly progress.

Your first 30 minutes are free.

Start with a free 30-minute assessment. We will understand what the student needs and recommend the right plan.

Every plan includes live one-to-one lessons.

The Noktua practice platform is free with every account — even if you have not booked a lesson yet.

  • Single Sessions

    For when you need help, right when you need it.

    €50 / hour
    • ✓ 1-on-1 with your tutor
    • ✓ Personalised support for your questions
    • ✓ Session summary notes
    • ✓ No commitment
    Book a session
  • MOST POPULAR

    Continuous Learning

    For students who want consistent learning and steady progress.

    €40 / hour
    • ✓ Regular weekly lessons
    • ✓ Fully personalised learning plan
    • ✓ Custom study materials
    • ✓ Progress tracking & homework support
    Start Learning
  • 2-WEEK INTENSIVE

    Exam Preparation Sprint

    For students with an upcoming test or exam who need focused preparation over a short period.

    €45 / hour
    • ✓ 8 hours of focused tutoring over 2 weeks
    • ✓ Targeted revision of key topics
    • ✓ Exam-style exercises and practice
    • ✓ Custom study materials
    Start Programme

Lessons at the student's home carry an extra charge of €10/hour.

Common questions

Which courses is this for?

Introductory and intermediate Probability and Statistics in any degree, including the statistics modules of psychology, biology, economics and engineering courses.

My course is only frequentist. Is the Bayesian part extra?

Only if you want it. Lessons follow your syllabus; the Bayesian side is there for courses that include it, or for students who want to see the other view.

Book your free 30-minute assessment

Tell us the year group and where it is going wrong. You will have a reply within 24 hours with a time.

Every message is read by a tutor, not a bot, and answered within 24 hours.

Not ready to book? Create a free account and try the practice platform.