A tutorial on Palm distributions for spatial point processes

TL;DR

This tutorial introduces Palm distributions for spatial point processes, explaining their definitions, properties, and applications with examples, to aid understanding of this fundamental concept in spatial statistics.

Contribution

It provides a comprehensive, accessible overview of Palm distributions, including explicit definitions, general case review, and practical examples, which was lacking in existing literature.

Findings

Explicit density-based definitions for finite point processes

Review of Palm distributions in the general case

Examples of Palm distributions in specific models

Abstract

This tutorial provides an introduction to Palm distributions for spatial point processes. Initially, in the context of finite point processes , we give an explicit definition of Palm distributions in terms of their density functions. Then we review Palm distributions in the general case. Finally we discuss some examples of Palm distributions for specific models and some applications.