Roger barlow statistics pdf

Bad Theory 3. Underestimated errors 4. Bad luck 12 Small 2 comes from 1. Overestimated errors 2. Good luck. Which to use? Use if only a handful of events. Binned ML: less cumbersome. Lose information if bin size large. Can use 2 as goodness-of-fit afterwards Proper 2 : even less cumbersome and gives goodness-of-fit directly.

It will demonstrate the principle of non-scaling FFAGs and be used to study the features of this type of accelerator in detail. Lepton Flavour violation is predicted by many theories beyond the standard model.

To measure this to high precision requires a To measure this to high precision requires a large number of muons of very similar energy, and this is difficult to achieve from a muon target with conventional beam optics. Particle Physics and Accelerator Physics. We consider the effects of short range intra bunch wakefields in axially symmetric apertures for bunches of arbitrary shape, and show how they can be included in particle tracking codes in a computationally efficient way, including We consider the effects of short range intra bunch wakefields in axially symmetric apertures for bunches of arbitrary shape, and show how they can be included in particle tracking codes in a computationally efficient way, including modes of any angular order.

Results from these simulations strongly indicate that such higher order mode wakefield effects are not significant even for the unprecedentedly small-dimension collimation system proposed for the ILC. More Info: Co-authored with Adriana Bungau. Probability, Likelihood and Confidence more. Physicists generally think they understand probability, and don't pay much heed to the Frequentist versus Bayesian arguments about its exact definition.

This works fine a lot of the time, as there are only a few situations where the This works fine a lot of the time, as there are only a few situations where the difference really matters.

Unfortunately one of those situations is searches for rare processes in the presence of background, using the result to set limits. This an area where a lot of us are working, and we discover we are out of our depth and don't really understand what is going on.

This talk goes from the basics and build up to the statistical tools in use in analyses. Particle Physics , Probability and statistics , and Upper Limits. The IsoDAR cyclotron design more. Neutrino oscillations and Cyclotron Production of Radiopharmaceuticals. Particle Physics and Dark Matter. Practical Statistics for Particle Physics Lecture 1 more. Statistics and Particle Physics.

The talk considers alternative possibilities for ADS drivers. The energy and current required for a typical design are somewhat beyond the reach of conventional cyclotrons and synchrotrons; linear accelerators can supply the required The energy and current required for a typical design are somewhat beyond the reach of conventional cyclotrons and synchrotrons; linear accelerators can supply the required power but they are expensive, and their price is a barrier to the wide adoption of the ADSR concept.

The Fixed Field Alternating Gradient FFAG combines the best features of cyclotron and synchrotron performance: the rationale is outlined and a review given of the current state of development. The talk also considers the proposal to use electron accelerators for ADSR, generating neutrons through excitation of the giant dipole resonance by bremsstrahlung photons, and shows how this may have applications for low power systems.

OpenMED more. Proton Therapy. Do thorium reactors need an accelerator? The problem of long-lived radioactive waste has yet to find an acceptable solution, with political opposition to geological storage remaining strong. One possible solution which has often been discussed is to use ADSR systems for its One possible solution which has often been discussed is to use ADSR systems for its incineration. The advantages of thorium as a fuel in this process are obvious, but few detailed numerical studies have been performed We investigate the potential for using a thorium fuelled subcritical reactor for the incineration of long-lived minor actinide radioactive waste, based on the well-developed MYRRHA reactor design, operating in sub-critical mode.

From this we present the burn-up rates that would be achieved, both initially and in the longer term as U is formed. Physics with jets at LHCb more. Particle Physics.

Study of radiative tau decays with the BaBar detector more. Elementary Particle Physics. Distributions more. A review of the basic probability distributions and their properties, plus some ideas on random number generation.

Elementary Particle Physics and Statistics. B factory searches for light scalars and other new states more. The Two sample problem: use and abuse of the Kolmogorov-Smirnov test more.

In particle physics the two sample problem often takes the form "Are these two histograms compatible? The Chi squared test and the Kolmogorov-Smirnov test are commonly used for this. We show that the KS test requires a very large number We show that the KS test requires a very large number of bins to be valid, and the chi squared test requires a very small number to be useful.

Both tests clearly ignore relevant information. A way to improve this is suggested. Accelerators for ADSRs more. Thorium fuelled ADSR systems require high power proton beams, a little way beyond the capacity of existing machines. We review the requirements for energy, current, and reliability, and compare them with the performance of current and We review the requirements for energy, current, and reliability, and compare them with the performance of current and proposed Linac systems.

Measurements of tau hadronic branching fractions and spectra, and search for 2nd class current tau decays more. Thorium Fuelled Nuclear Power - or how Accelerators can save the planet more. Thorium can be deployed in Worry and maybe decide there could be an effect 4. Worry and ask colleagues and see what other experiments did Incorporate the discrepancy in the systematic Do these, and thou shalt prosper, and thine analysis likewise Further Reading R Barlow, Statistics.

Yellow report Proc. Simple Statistical Errors 2. Results from small numbers Roger Barlow Manchester Bohr.