Proceedings of the Berkeley Symposium on Mathematical Statistics and Probability, Volume 3

apparent magnitude applied approximation assume assumption Astr astronomical units asymptotic average Baire functions bounded calculations catalogue characteristic function Coma Cluster computed conditional considered constant convergence D. G. KENDALL defined denote depend distance double galaxies double-exponential droplets effect equation error estimate expected number experimental field galaxies figure finite follows formula Gaussian given groups Halley's comet Hence hyperbolic hypothesis independent indicate integral interval Jupiter km/sec Laplace transform linear long-period comets luminosity function mass Mayall mean measure motion nonnegative number of visits observed obtained Oort orbit outliers parameter particle perihelion perturbation distribution plane positive preorbits probability density problem radial velocity random variables redshift right side solar system solution sources space statistical systems of galaxies theorem theory tion total number values variance z-spectrum zero