scholarly journals AVERAGE DENSITY ESTIMATORS: EFFICIENCY AND BOOTSTRAP CONSISTENCY

2021 ◽  
pp. 1-35
Author(s):  
Matias D. Cattaneo ◽  
Michael Jansson

This paper highlights a tension between semiparametric efficiency and bootstrap consistency in the context of a canonical semiparametric estimation problem, namely the problem of estimating the average density. It is shown that although simple plug-in estimators suffer from bias problems preventing them from achieving semiparametric efficiency under minimal smoothness conditions, the nonparametric bootstrap automatically corrects for this bias and that, as a result, these seemingly inferior estimators achieve bootstrap consistency under minimal smoothness conditions. In contrast, several “debiased” estimators that achieve semiparametric efficiency under minimal smoothness conditions do not achieve bootstrap consistency under those same conditions.

Author(s):  
Е. N. Sedov ◽  
T. V. Yanchuk

In 2020, the 75th anniversary of Victory in the Great Patriotic War was celebrated. Many soldiers and did not survive to see the end of the war. It is important that people living now remember and honor those who gave their lives for the freedom and independence of our country and those who came from the war in difficult conditions to restore the national economy of the country. In memory of those who courageously defended the independence of our great country, we named a new apple cultivar ‘Den Pobedy’ (Victory Day), which took 33 years to create. In 2020, this cultivar was included in the State Register of breeding achievements and it is recommended for cultivation in the Central-Chernozem region including Belgorod, Voronezh, Kursk, Lipetzk, Orel and Tambov regions. This cultivar was developed by crossing are quite commonly known winter cultivar ‘Veteran’ and foreign cultivar ‘Horcout’. Trees have a drooping crown. The main branches are curves. A characteristic feature of this cultivar is that the branches from the trunk depart at an angle close to straight. The main number of fruits is located on short fruit formations. Fruits are of medium weight (140 g), conical, wide-ribbed. The main color of the fruit at the time of harvest is greenish. The cover color occupies most of the surface of the fruit in the form of red blush. The fruit flesh is white, greenish of average density. The appearance (attractiveness) of the fruit is estimated at 4.4 points, and the taste - at 4.3 points (5-point rating). Fruits contain 14.7 % of sugars and 9.2 mg/100 g of ascorbic acid (vitamin C). Harvest in Orel region is in mid-September, the consumer period of fruits is until mid-March. The cultivar regularly bears fruit and has high product and consumer qualities.


2014 ◽  
Author(s):  
Bingduo Yang ◽  
Yuhua Li ◽  
Peiqin Zhang

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