Keynes' Law and Its Critics. Critics of Keynes' "fundamental psychological law" that the rate of current consumption declines with increases in current income claimed it was incomplete, produced incorrect predictions and emphasized the wrong spending behavior. These objections involve confusion over the effects of individual and average data on spending estimates. When data types are carefully ...

Classical confidence intervals are often misunderstood by particle physicists and the general public alike. The confusion arises from the two different definitions of probability in common use. As a result, there is general dissatisfaction when confidence intervals are empty or they exclude parameter values for which the experiment is insensitive. In order to clarify these issues, the relation ...

We consider the Smoluchowski equation with a coordinate-dependent reactivity and obtain asymptotic expansions for the survival probability and the mean lifetime as power series in the diffusion constant. The coefficients in this expansion may depend on both temporal and spatial variables. Using the present results together with the previously derived expansion for the fast diffusion limit, we a...

Data analysis for the proposed Laser Interferometer Space Antenna (LISA) will be complicated by the huge number of sources in the LISA band. In the frequency band 10 4 2 10 3 Hz, galactic white dwarf binaries (GWDBs) are sufficiently dense in frequency space that it will be impossible to resolve most of them, and ‘‘confusion noise’’ from the unresolved Galactic binaries will dominate over instr...

The sensitivity of histogram computation to the choice of a reference interval and number of bins can be attenuated by replacing the crisp partition on which the histogram is built by a fuzzy partition. This involves replacing the crisp counting process by a distributed (weighted) voting process. The counterpart to this low sensitivity is some confusion in the count values: a value of 10 in the...