Cosmological number density n(z) in depth z from p(V/Vm) distribution

TL;DR

This paper demonstrates how the distribution p(V/Vm) can be used to directly derive the cosmological number density n(z), illustrated with a small quasar sample from 1981, highlighting the method's potential.

Contribution

It introduces a method to calculate cosmological number density n(z) directly from the V/Vm distribution rather than just the mean, advancing cosmological analysis techniques.

Findings

Illustrative calculation using 76 quasars from 1981

Method shows potential but is limited by small sample size

Provides a new approach to analyze cosmological data

Abstract

Using distribution p(V/Vm) of V/Vm rather than just mean <V/Vm> in V/Vm-test leads directly to cosmological number density n(z). Calculation of n(z) from p(V/Vm) is illustrated using best sample (of 76 quasars) available in 1981, when method was developed. This is only illustrative, sample being too small for any meaningful results. Keywords: V/Vm . luminosity volume . cosmological number density . V/Vm distribution