Probability and Statistics in Particle Physics, Volume 1

Appendix Table approximate assume asymptotic binormal bubble chamber characteristic function chi-square distribution chi-square variable coefficient confidence interval corresponding covariance matrix decay defined degrees of freedom density matrix derivatives deviation ellipse equal errors estimator of o² evaluated example Exercise experiment experimental expression ƏlnL F-distribution formula given gives goodness-of-fit H₁ Hence i-th independent integral iteration known Lagrangian multipliers Least-Squares likelihood function likelihood interval linear LS method maximum Maximum-Likelihood mean value measurements minimization minimum ML estimate normal distribution normal p.d.f. normal variable number of degrees number of events number of observations obtained parameter estimation particle Poisson problem procedure properties quantity random variable resolution function sample scan Show solution specified standard normal Student's t-distribution sufficient statistic symmetric test statistic theoretical tion total number true value unbiassed estimator unknown parameters vector