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  2. 0. Statistics 1B Statistics 1B 1 (1–1) 0. Lecture ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-01-intro-prob-4.pdf
    17 Jan 2017: Yx fX,Y (x, y ). =. Xx. [. YfY |X (y | x ). ]fX (x ) =. Xx fX (x ). Lecture 1. Introduction and probability review 20 (1–1). ... 12. Lecture 1. Introduction and probability review 31 (1–1). 1. Introduction and probability review 1.20.
  3. 0. Statistics 1B Statistics 1B 1 (1–1) 0. Lecture ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-01-intro-prob.pdf
    18 Jan 2017: Y (x, y ). =X. x. [Y. fY |X (y | x ). ]fX (x ) =. X. x fX (x ). Lecture 1. Introduction and probability review 20 (1–1). ... 12. Lecture 1. Introduction and probability review 31 (1–1). 1. Introduction and probability review 1.20.
  4. Convergence of the SAW on random quadrangulations to SLE8/3 on…

    www.statslab.cam.ac.uk/~jpm205/slides/saw_convergence_paris_january_2017.pdf
    22 Jan 2017: Jason Miller (Cambridge) Convergence of the SAW on ’s to SLE(8/3) January 24, 2017 20 / 26. ... Q+. Qzip. Q. Jason Miller (Cambridge) Convergence of the SAW on ’s to SLE(8/3) January 24, 2017 20 / 26.
  5. interlude-2-bias

    www.statslab.cam.ac.uk/Dept/People/djsteaching/interlude-2-bias.pdf
    25 Jan 2017: Do you think the population of the Philippines is greater than 20,000,000? •
  6. 4. Lecture 5. Confidence Intervals Lecture 5. Confidence Intervals ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-05-confidence-intervals.pdf
    30 Jan 2017: Suppose an opinion poll says 20% are going to vote UKIP, based on a randomsample of 1,000 people. ... Now var(Xn. )= p(1p)n. p̂(1p̂)n =. 0.20.81000 = 0.00016. So a 95% CI is(p̂1.96.
  7. 4. Lecture 5. Confidence Intervals Lecture 5. Confidence Intervals ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-05-confidence-intervals-4.pdf
    30 Jan 2017: Suppose an opinion poll says 20% are going to vote UKIP, based on a randomsample of 1,000 people. ... Now var(Xn. )= p(1p)n. p̂(1p̂)n =. 0.20.81000 = 0.00016. So a 95% CI is(p̂1.96.
  8. 5. Lecture 6. Bayesian estimation Lecture 6. Bayesian estimation ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-06-bayesian.pdf
    6 Feb 2017: On average in the country around 10% of peopledie, but mortality rates in different hospitals vary from around 3% to around 20%.Hospital H has no deaths in their first 10 ... It turns out that a Beta(a=3,b=27) prior distribution has mean 0.1 andP(0.03 <
  9. 5. Lecture 6. Bayesian estimation Lecture 6. Bayesian estimation ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-06-bayesian-4.pdf
    6 Feb 2017: On average in the country around 10% of peopledie, but mortality rates in different hospitals vary from around 3% to around 20%.Hospital H has no deaths in their first 10 ... It turns out that a Beta(a=3,b=27) prior distribution has mean 0.1 andP(0.03 <
  10. 6. Lecture 7. Simple Hypotheses Lecture 7. Simple Hypotheses ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-07-simple-hypotheses.pdf
    6 Feb 2017: 20 is known. We want to find. the best size α test of H0 :µ=µ0 against H1 :µ=µ1, where µ0 and µ1 are knownfixed values with µ1 > µ0.
  11. 6. Lecture 7. Simple Hypotheses Lecture 7. Simple Hypotheses ...

    www.statslab.cam.ac.uk/Dept/People/djsteaching/S1B-17-07-simple-hypotheses-4.pdf
    6 Feb 2017: 20 is known. We want to find. the best size α test of H0 :µ=µ0 against H1 :µ=µ1, where µ0 and µ1 are knownfixed values with µ1 > µ0.

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