Borel-Cantelli Lemma

Let be a Sequence of events occurring with a certain probability distribution, and let bethe event consisting of the occurrence of a finite number of events , , .... Then if

References

Hazewinkel, M. (Managing Ed.). Encyclopaedia of Mathematics: An Updated and Annotated Translation of the Soviet ``Mathematical Encyclopaedia.'' Dordrecht, Netherlands: Reidel, pp. 435-436, 1988.

• Pantograph
• Papal Cross
• Pappus Chain
• Pappus-Guldinus Theorem
• Pappus's Centroid Theorem
• Pappus's Harmonic Theorem
• Pappus's Hexagon Theorem
• Pappus's Theorem
• Parabiaugmented Dodecahedron
• Parabiaugmented Hexagonal Prism
• Parabiaugmented Truncated Dodecahedron
• Parabidiminished Rhombicosidodecahedron
• Parabigyrate Rhombicosidodecahedron
• Parabola
• Parabola Caustic
• Parabola Evolute
• Parabola Inverse Curve
• Parabola Involute
• Parabola Pedal Curve
• Parabolic Coordinates
• Parabolic Cyclide
• Parabolic Cylinder
• Parabolic Cylinder Function
• Parabolic Cylindrical Coordinates
• Parabolic Fixed Point