... Using the central limit theorem, the total noise can be approximated by a Gaussian or normal distribution which has the frequency function : . ... where is the mean intensity of the source. ... In the statistical analysis of the probability distribution of data several estimators based on moments are used. ... For a normal distribution, these moments are and while for a Poisson distribution are and . Besides these moments other estimators are used to describe a distribution e.g. median and mode . ...

... Meta Index / Home Page . ... Description . Errors . ... Keyword TIMEDEL missing in Input File . ... Negative background values in Input File . ... Negative count rates in Input File . ... Null or negative Bin Width in Input File . ... CONTENT parameter for input file is .. ... Keyword CONTENT missing in Input File . ... Keyword EXPOSURE missing in Input File . ... Keyword HDUCLASS missing in Input File . ... Keyword TSTART missing in Input . ... Null or negative exposure time in Input File . ...

... Abstract Fetch from the kernel pool the double precision values of an item associated with a body. ... It's an error to supply an output array that is too small to hold all of the values associated with the requested kernel variable. Detailed_Output dim is the number of values returned; this is always the number of values associated with the requested kernel variable unless an error has been signaled. values is the array of values associated with the requested kernel variable. ...

The examples of the errors. ... Observations with ordinary values of the "Mean error of single observation" Obj Code DT RA (O-C) DEC (O-C) mag z h m s " ° ' " " ° 3907 761 1998 08 24.383673 3 17 44.739 0.28 +30 46 00.84 -0.08 15.8 18 3907 761 1998 08 24.409133 3 17 46.152 0.28 +30 46 10.85 0.12 15.8 11 3907 761 1998 08 25.392523 3 18 40.107 0.33 +30 52 27.69 0.04 15.4 15 Total mean value of 3 observations 0.297±0.017 0.027±0.058 Mean error of single observation 0.029 0.101 COMMENT. ...

... Let us first find out which way -- rise in spectral resolution with some loss in the S/N ratio or increase in the S/N ratio with a fixed spectral resolution -- is better for the purpose of reduction of equivalent width determination errors. ... N -- number of counts for 1 ? ... line equivalent width, . ... Thus if the spectral resolution is managed to be increased (i.e. to decrease )without loss in the number of counts falling at 1 ?, the equivalent width measurement error is then proportional to . ...

In the Table below the masses of some asteroids which were determined during the last years are listed. ... The listed values were determined from observations of many test bodies by the weighted least square fit for one perturbing mass and corrections to the orbit elements of all used test bodies. ... based on the observations of 98 asteroids (including 50278) with the values of standard error of mass determination less than 3.0 10 -11 M Sun . ... Mass . ... 3) Mass 121 : 0.74 x 10 -11 M Sun ; . ...

Next: Phenomenological Kick Velocity Up: Restrictions on the Scenario Previous: The COOC Criterion (Criterion . ... The results of testing and parameters without kick velocity are presented in the form of "topographical maps" (i.e. as isolines) of constant ``COOC'' criterion in the plane calculated separately for each of the binary species listed in Table  4 (Figures  16 - 20 ). The total COOC criterion calculated with equal weights is shown in Figure  21 . ...