pgeomBCD: Cumulative Distribution Function for a Bivariate Geometric...

In BCD: Bivariate Distributions via Conditional Specification

Cumulative Distribution Function for a Bivariate Geometric Distribution via Conditional Specification

Description

Computes the cumulative distribution function (c.d.f.) of a bivariate geometric conditionals distribution (BGCD) based on Ghosh, Marques, and Chakraborty (2023).

Usage

pgeomBCD(x, y, q1, q2, q3)

Arguments

x	value at which the c.d.f. is evaluated
y	value at which the c.d.f. is evaluated
q1	probability parameter for X , in (0, 1]
q2	probability parameter for Y , in (0, 1]
q3	dependence parameter, in (0, 1]

Value

The probability P(X \leq x, Y \leq y) .

References

Ghosh, I., Marques, F., & Chakraborty, S. (2023) A bivariate geometric distribution via conditional specification: properties and applications, Communications in Statistics - Simulation and Computation, 52:12, 5925–5945, \Sexpr[results=rd]{tools:::Rd_expr_doi("10.1080/03610918.2021.2004419")}

See Also

dgeomBCD rgeomBCD

Examples

# Compute P(X \le 1, Y \le 2) with q1 = 0.5, q2 = 0.6, q3 = 0.8
pgeomBCD(x = 1, y = 2, q1 = 0.5, q2 = 0.6, q3 = 0.8)

# Example with small values
pgeomBCD(x = 0, y = 0, q1 = 0.4, q2 = 0.3, q3 = 0.9)

BCD documentation built on June 25, 2025, 5:09 p.m.