BCD (version 0.1.1)

pgeomBCD: 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)

Value

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

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]

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, 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)