  This paper elucidates the anomalous decay of the muon ascribed to extended
waves. Due to a large overlap of the parent and daughters, the transition
amplitude and probability for the neutrinos are modified from the standard
formula. A rigorous probability from the von Neumann's fundamental principle of
the quantum mechanics at a large time interval $T$ is, $P=T\Gamma + P^{(d)}$,
where $\Gamma$ is derived from the Fermi's golden rule, and $P^{(d)}$ is a
correction term. A new term $P^{(d)}$ has origins in the overlapping waves, and
influences the determinations of physical parameters. By including $P^{(d)}$,
short-baseline neutrino experiments with LSND, KARMEN, and MiniBooNE become
consistent each other and with the solar, long-baseline, and reactor
experiments within the three neutrinos. Byproduct is that the absolute neutrino
mass of the neutrinos can be measured.
