Analysis and Nonparametric Inference (ANI)

General Info


Copyright Notice

ANI Software package, corresponding documentation and any other published materials associated with the software and originated in the Cosmic Ray Division of the Yerevan Physics Institute (CRD) are the property of the CRD.

All materials are Copyright. Copyright for the mentioned materials is reserved worldwide,and is protected by the Copyright Law and respective International Treaties signed by the Republic of Armenia. References to the ANI software package are obligatory.

Source code of the program is the property of CRD. It is distributed freely, is protected by the Copyright, and cannot be modified without the written permission of the Head of the CRD.


Software is distributed AS IS, and neither CRD nor the Yerevan Physics Institute can be held liable for any kind of material or other damage incurred as a result of the use of ANI package or other associated documentation. Authors of the ANI package, proprietors of the software, and the Yerevan Physics Institute undertake no obligation for the maintenance of the software, and/or bear no legal responsibility for the correctness of the software.

What ANI is intended to do

The program represents an unified methodology of multivariate data analysis, collected on modern cosmic ray physics installations consisting of:

  • optimal utilization of information contained in simulation trials and experimental events;
  • best feature subsets selection and initial dimensionality reduction;
  • optimized methods of multivariate probability density estimation;
  • scanning of multivariate distributions to investigate embedded nontrivial structures;
  • nonparametric estimation of regression function; Neural Network and Bayesian classification and background rejection;

The main physical problems to be solved are:

  • event - by - event analysis of extensive air shower data;
  • hadronic background rejection in detection of very high estimation of the chemical composition of primary cosmic rays;
  • determination of the type and the energy of primary particles;
  • analysis of the data from the system of imaging atmospheric Cherenkov telescopes.
  • to obtain model - independent estimates of some parameters of the strong interaction at superaccelerator energies by the characteristics of the electron - photon, hadron and muon component of EAS.

What ANI is not intended to do

  • simulation of nuclear-electromagnetic cascade in the atmosphere;
  • estimation of the detector response;
  • ANI is not intended also for the repeated solution of identically parametrized problems (such as shower size reconstruction) where a specialized program will be in general much more efficient.

Further remarks

This manual consists of three parts:

  • A reference guide explaining the concepts and how to use ANI for maximum benefit;
  • A tutorial about mathematical foundations of new nonparametric statistical methods;
  • A tutorial on the interpretation of ANI results and examples of implementation for different Cosmic Ray experiments data analysis.