In this paper, maximum likelihood and Bayesian approaches have been used to obtain the estimation of <InlineEquation ID="IEq4"> <EquationSource Format="TEX">$$P(XY)$$</EquationSource> <EquationSource Format="MATHML"> <math xmlns:xlink="http://www.w3.org/1999/xlink"> <mrow> <mi>P</mi> <mo stretchy="false">(</mo> <mi>X</mi> <mo></mo> <mi>Y</mi> <mo stretchy="false">)</mo> </mrow> </math> </EquationSource> </InlineEquation> based on a set of upper record values from Kumaraswamy distribution. The existence and uniqueness of the maximum likelihood estimates of the Kumaraswamy distribution...</equationsource></equationsource></inlineequation>