scholarly journals Bias Properties of Extragalactic Distance Indicators. X. The Teerikorpi Cluster Population Incompleteness Bias for a Modified Lemaître-Robertson-Hubble-Humason Distance Method That Uses Luminosity Functions

2002 ◽  
Vol 123 (3) ◽  
pp. 1179-1187 ◽  
Author(s):  
Allan Sandage
Keyword(s):  
Distance Method ◽  
Luminosity Functions ◽  
Distance Indicators

scholarly journals Problems Concerning the Extragalactic Distance Scale

1972 ◽  
Vol 44 ◽  
pp. 341-352
Author(s):  
G. O. Abell
Keyword(s):  
Galaxy Clusters ◽  
Hubble Parameter ◽  
Absolute Magnitude ◽  
Distance Scale ◽  
Luminosity Functions ◽  
The Absolute ◽  
The Difference ◽  
Extragalactic Distance Scale ◽  
Distance Indicators

The use of the brightest members of galaxy clusters as distance indicators is questioned because of a possible correlation between the absolute magnitude of the brightest galaxy and the richness of the cluster. Comparison of the clusters' luminosity functions is considered to be more appropriate. The difference between the two approaches is substantial when a comparison is made between the Coma and Virgo clusters. The value of the Hubble parameter may well be less than 50 km s−1 Mpc−1.

Magellanic Cloud Eclipsing Binaries: Primary Distance Indicators

1999 ◽  
Vol 190 ◽  
pp. 563-566
Author(s):  
J. D. Pritchard ◽  
W. Tobin ◽  
J. V. Clausen ◽  
E. F. Guinan ◽  
E. L. Fitzpatrick ◽  
...  
Keyword(s):  
New Zealand ◽  
Magellanic Cloud ◽  
Eclipsing Binaries ◽  
Fundamental Parameters ◽  
Distance Indicators

Our collaboration involves groups in Denmark, the U.S.A. Spain and of course New Zealand. Combining ground-based and satellite (IUEandHST) observations we aim to determine accurate and precise stellar fundamental parameters for the components of Magellanic Cloud Eclipsing Binaries as well as the distances to these systems and hence the parent galaxies themselves. This poster presents our latest progress.

Applying the Method of Lagrange Multipliers to Derive an Estimator for Unsampled Soil Properties

2014 ◽  
Vol 11 (1) ◽  
pp. 15
Author(s):  
Set Foong Ng ◽  
Pei Eng Ch’ng ◽  
Yee Ming Chew ◽  
Kok Shien Ng
Keyword(s):  
Soil Properties ◽  
Lagrange Multipliers ◽  
Unbiased Estimator ◽  
Soil Property ◽  
Minimum Variance ◽  
Distance Method ◽  
True Value ◽  
A Site ◽  
Method Of Lagrange Multipliers ◽  
Inverse Distance

Soil properties are very crucial for civil engineers to differentiate one type of soil from another and to predict its mechanical behavior. However, it is not practical to measure soil properties at all the locations at a site. In this paper, an estimator is derived to estimate the unknown values for soil properties from locations where soil samples were not collected. The estimator is obtained by combining the concept of the ‘Inverse Distance Method’ into the technique of ‘Kriging’. The method of Lagrange Multipliers is applied in this paper. It is shown that the estimator derived in this paper is an unbiased estimator. The partiality of the estimator with respect to the true value is zero. Hence, the estimated value will be equal to the true value of the soil property. It is also shown that the variance between the estimator and the soil property is minimised. Hence, the distribution of this unbiased estimator with minimum variance spreads the least from the true value. With this characteristic of minimum variance unbiased estimator, a high accuracy estimation of soil property could be obtained.

Applying analytical procedures for performance audit of customs authorities

2020 ◽  
Vol 19 (6) ◽  
pp. 1035-1055 ◽  
Author(s):  
S.V. Pankova ◽  
V.V. Popov
Keyword(s):  
Distance Method ◽  
Scientific Methods ◽  
Scientific Hypothesis ◽  
Financial Audit ◽  
Promising Area ◽  
History Of ◽  
Performance Audit ◽  
Analytical Procedures ◽  
And Performance ◽  
Customs Administration

Subject. The article considers the development of a set of methods and indicators of economic analysis, which can be used for performance audit of customs authorities, using the Volga Customs Administration case. Objectives. The aim is to justify the use of analytical procedures to rank the effectiveness of customs payments for the purpose of performance audit of customs authorities. Methods. We employ general scientific methods of research, i.e. dialectical and monographic methods, logical analysis, comparison, as well as the Euclidean distance method. Results. We reviewed works by Russian and foreign scholars on the history of customs audit development and internal financial control of customs authorities, gave scientific credence to attributing the system of customs payment and performance to the indicators of economic activity of customs authorities. Due to the lack of methods for assessing the performance of customs authorities, the use of analytical procedures during the performance audit seems to be a promising area. Conclusions. When verifying the scientific hypothesis put forward in the study, we established that the introduction and development of the ranking system for the performance of customs authorities related to the collection of customs duties can contribute to effective financial audit of customs authorities in general.

Luminosity Functions for Globular Clusters

1998 ◽  
Vol 509 (1) ◽  
pp. 192-202 ◽  
Author(s):  
Fabio Silvestri ◽  
Paolo Ventura ◽  
Francesca D'Antona ◽  
Italo Mazzitelli
Keyword(s):  
Globular Clusters ◽  
Luminosity Functions

scholarly journals Carbon stars as standard candles – II. The median J magnitude as a distance indicator

2020 ◽  
Vol 501 (1) ◽  
pp. 933-947
Author(s):  
Javiera Parada ◽  
Jeremy Heyl ◽  
Harvey Richer ◽  
Paul Ripoche ◽  
Laurie Rousseau-Nepton
Keyword(s):  
Luminosity Function ◽  
Asymptotic Giant Branch ◽  
Distance Modulus ◽  
Asymptotic Giant Branch Stars ◽  
Luminosity Functions ◽  
Best Fitting ◽  
Distance Indicator ◽  
Ngc 6822 ◽  
The Given ◽  
Giant Branch Stars

ABSTRACT We introduce a new distance determination method using carbon-rich asymptotic giant branch stars (CS) as standard candles and the Large and Small Magellanic Clouds (LMC and SMC) as the fundamental calibrators. We select the samples of CS from the ((J − Ks)0, J0) colour–magnitude diagrams, as, in this combination of filters, CS are bright and easy to identify. We fit the CS J-band luminosity functions using a Lorentzian distribution modified to allow the distribution to be asymmetric. We use the parameters of the best-fitting distribution to determine if the CS luminosity function of a given galaxy resembles that of the LMC or SMC. Based on this resemblance, we use either the LMC or SMC as the calibrator and estimate the distance to the given galaxy using the median J magnitude ($\overline{J}$) of the CS samples. We apply this new method to the two Local Group galaxies NGC 6822 and IC 1613. We find that NGC 6822 has an ‘LMC-like’ CS luminosity function, while IC 1613 is more ‘SMC-like’. Using the values for the median absolute J magnitude for the LMC and SMC found in Paper I we find a distance modulus of μ0 = 23.54 ± 0.03 (stat) for NGC 6822 and μ0 = 24.34 ± 0.05 (stat) for IC 1613.

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