Here is an example of how to use the logback.core.net.DefaultSocketConnector class to establish a socket connection with a remote host:

import ch.qos.logback.core.net.DefaultSocketConnector;
import java.net.Socket;

public class Main {
    public static void main(String[] args) {
        DefaultSocketConnector connector = new DefaultSocketConnector();
        connector.setRemoteHost("localhost");
        connector.setPort(12345);
        connector.setTimeBetweenRetries(3000);
        connector.start();

        Socket socket = connector.getSocket();
        // use the socket to send or receive data
        connector.stop();
    }
}

In this example, an instance of DefaultSocketConnector is created and configured to connect to a remote host at "localhost" on port 12345, with a time between retries of 3 seconds. The connector starts trying to establish the socket connection.

Once the socket connection is established, it's returned through the method connector.getSocket() and the returned socket can be used to send or receive data.

It's recommended to close the connector after finishing the usage by calling connector.stop().

It's important to note that this class is not thread-safe and should be handled in a synchronous way.