Alternative Equation Formats

The equation on this page is available in multiple formats. Depending on your browser, some formats might not render correctly.

MathML

M ^ i ( t ) = 0 t 1 d ( s ) k = 1 d ( s ) d M i ( β ^ , k , s ) = N i ( t ) 0 t 1 d ( s ) k = 1 d ( s ) Y i ( s ) ( 1 Δ i ( s ) k 1 d ( s ) ) e β ^ Z i ( s ) d Λ 0 ( β ^ , k , s )

Math Rendered as SVG

Math as LaTeX Source

\[ \hat{M}_ i(t) = \int _0^ t \frac{1}{d(s)} \sum _{k=1}^{d(s)} dM_ i(\hat{\bbeta },k,s) = N_ i(t) - \int _0^ t \frac{1}{d(s)} \sum _{k=1}^{d(s)} Y_ i(s)\biggl ( 1- \Delta _ i(s) \frac{k-1}{d(s)} \biggr ) \mr{e}^{\hat{\bbeta }'\bZ _ i(s)} d\Lambda _0(\hat{\bbeta },k,s) \]